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122122022220220 = 225113161231292441
BaseRepresentation
bin11011110001000110111111…
…110000001111000110111100
3121000101202021200221221001011
4123301012333300033012330
5112001321400142021340
61111422025453325004
734503011361353341
oct3361067760170674
9530352250857034
10122122022220220
1135a037279130a0
1211844096196764
13531b098b025c9
142222a476667c8
15e1ba19dda0ea
hex6f11bfc0f1bc

122122022220220 has 96 divisors (see below), whose sum is σ = 288801008197632. Its totient is φ = 42974642880000.

The previous prime is 122122022220137. The next prime is 122122022220221. The reversal of 122122022220220 is 22022220221221.

It is a super-2 number, since 2×1221220222202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122122022220191 and 122122022220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122022220221) 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, 417449200 + ... + 417741640.

It is an arithmetic number, because the mean of its divisors is an integer number (3008343835392).

Almost surely, 2122122022220220 is an apocalyptic number.

122122022220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122022220220 is an abundant number, since it is smaller than the sum of its proper divisors (166678985977412).

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

122122022220220 is a wasteful number, since it uses less digits than its factorization.

122122022220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353723 (or 353721 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 122122022220220 its reverse (22022220221221), we get a palindrome (144144242441441).

The spelling of 122122022220220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 61231 122462 244924 292441 306155 584882 612310 673541 1169764 1224620 1347082 1462205 1898161 2694164 2924410 3216851 3367705 3796322 5848820 6433702 6735410 7592644 9065671 9490805 12867404 13470820 16084255 18131342 18981610 20879771 32168510 36262684 37963220 41759542 45328355 64337020 83519084 90656710 99722381 104398855 181313420 199444762 208797710 398889524 417595420 498611905 997223810 1994447620 17906454871 35812909742 71625819484 89532274355 179064548710 196971003581 358129097420 393942007162 555100101001 787884014324 984855017905 1110200202002 1969710035810 2220400404004 2775500505005 3939420071620 5551001010010 6106101111011 11102002020020 12212202222022 24424404444044 30530505555055 61061011110110 122122022220220