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12322202002020 = 223251013169213881
BaseRepresentation
bin1011001101001111110001…
…1110010010001001100100
31121121222202102222200200200
42303103330132102021210
53103341332203031040
642112424053110500
72411151436566621
oct263237436221144
947558672880620
1012322202002020
113a208a88778a9
121470160628430
136b4c95178aa1
1430857d645348
151657de810630
hexb34fc792264

12322202002020 has 144 divisors (see below), whose sum is σ = 37759506810480. Its totient is φ = 3252344832000.

The previous prime is 12322202001997. The next prime is 12322202002073. The reversal of 12322202002020 is 2020020222321.

12322202002020 is a `hidden beast` number, since 12 + 32 + 220 + 200 + 202 + 0 = 666.

12322202002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 211634961444 + 12110567040576 = 460038^2 + 3480024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322202001984 and 12322202002002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57505480 + ... + 57719360.

It is an arithmetic number, because the mean of its divisors is an integer number (262218797295).

Almost surely, 212322202002020 is an apocalyptic number.

12322202002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879753405240).

12322202002020 is an abundant number, since it is smaller than the sum of its proper divisors (25437304808460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12322202002020 is a wasteful number, since it uses less digits than its factorization.

12322202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217166 (or 217161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12322202002020 its reverse (2020020222321), we get a palindrome (14342222224341).

The spelling of 12322202002020 in words is "twelve trillion, three hundred twenty-two billion, two hundred two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3169 3636 4545 6060 6338 9090 9507 12676 15845 18180 19014 28521 31690 38028 47535 57042 63380 95070 114084 142605 190140 213881 285210 320069 427762 570420 640138 641643 855524 960207 1069405 1280276 1283286 1600345 1920414 1924929 2138810 2566572 2880621 3200690 3208215 3840828 3849858 4277620 4801035 5761242 6401380 6416430 7699716 9602070 9624645 11522484 12832860 14403105 19204140 19249290 21601981 28806210 38498580 43203962 57612420 64805943 86407924 108009905 129611886 194417829 216019810 259223772 324029715 388835658 432039620 648059430 677788889 777671316 972089145 1296118860 1355577778 1944178290 2033366667 2711155556 3388944445 3888356580 4066733334 6100100001 6777888890 8133466668 10166833335 12200200002 13555777780 20333666670 24400400004 30500500005 40667333340 61001000010 68456677789 122002000020 136913355578 205370033367 273826711156 342283388945 410740066734 616110100101 684566777890 821480133468 1026850166835 1232220200202 1369133555780 2053700333670 2464440400404 3080550500505 4107400667340 6161101001010 12322202002020