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20122111222000 = 245331476905323
BaseRepresentation
bin1001001001101000010110…
…10010101010000011110000
32122020122200112021022021121
410210310023102222003300
510114140040433101000
6110443545325232024
74144526450210314
oct444641322520360
978218615238247
1020122111222000
116458815225527
12230b972402614
13b2c6789b7a98
144d7cb5b31b44
1524d65036db1a
hex124d0b4aa0f0

20122111222000 has 160 divisors (see below), whose sum is σ = 51293409583104. Its totient is φ = 7623475488000.

The previous prime is 20122111221889. The next prime is 20122111222001. The reversal of 20122111222000 is 22211122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122111222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538662 + ... + 6366661.

Almost surely, 220122111222000 is an apocalyptic number.

20122111222000 is a gapful number since it is divisible by the number (20) 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 20122111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646704791552).

20122111222000 is an abundant number, since it is smaller than the sum of its proper divisors (31171298361104).

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

20122111222000 is a wasteful number, since it uses less digits than its factorization.

20122111222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905424 (or 6905408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122111222000 its reverse (22211122102), we get a palindrome (20144322344102).

The spelling of 20122111222000 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 47 50 62 80 94 100 124 125 155 188 200 235 248 250 310 376 400 470 496 500 620 752 775 940 1000 1175 1240 1457 1550 1880 2000 2350 2480 2914 3100 3760 3875 4700 5828 5875 6200 7285 7750 9400 11656 11750 12400 14570 15500 18800 23312 23500 29140 31000 36425 47000 58280 62000 72850 94000 116560 145700 182125 291400 364250 582800 728500 1457000 2914000 6905323 13810646 27621292 34526615 55242584 69053230 110485168 138106460 172633075 214065013 276212920 324550181 345266150 428130026 552425840 649100362 690532300 856260052 863165375 1070325065 1298200724 1381064600 1622750905 1712520104 1726330750 2140650130 2596401448 2762129200 3245501810 3425040208 3452661500 4281300260 5192802896 5351625325 6491003620 6905323000 8113754525 8562600520 10061055611 10703250650 12982007240 13810646000 16227509050 17125201040 20122111222 21406501300 25964014480 26758126625 32455018100 40244222444 40568772625 42813002600 50305278055 53516253250 64910036200 80488444888 81137545250 85626005200 100610556110 107032506500 129820072400 160976889776 162275090500 201221112220 214065013000 251526390275 324550181000 402442224440 428130026000 503052780550 649100362000 804884448880 1006105561100 1257631951375 2012211122200 2515263902750 4024422244400 5030527805500 10061055611000 20122111222000