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122021120222120 = 2357601725107679
BaseRepresentation
bin11011101111101001000001…
…100001101010001110101000
3121000001002211200001100000102
4123233221001201222032220
5111443143223234101440
61111303421225324532
734462510052464640
oct3357510141521650
9530032750040012
10122021120222120
1135974959310519
1211828616336748
135311708479ba2
14221bbd48c9520
15e190b18cbb15
hex6efa4186a3a8

122021120222120 has 64 divisors (see below), whose sum is σ = 314290672819200. Its totient is φ = 41766202252800.

The previous prime is 122021120222093. The next prime is 122021120222179. The reversal of 122021120222120 is 21222021120221.

It is a super-2 number, since 2×1220211202221202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122021120222092 and 122021120222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362385560 + ... + 362722119.

It is an arithmetic number, because the mean of its divisors is an integer number (4910791762800).

Almost surely, 2122021120222120 is an apocalyptic number.

122021120222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021120222120 is an abundant number, since it is smaller than the sum of its proper divisors (192269552597080).

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

122021120222120 is a wasteful number, since it uses less digits than its factorization.

122021120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725108298 (or 725108294 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122021120222120 its reverse (21222021120221), we get a palindrome (143243141342341).

The spelling of 122021120222120 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 601 1202 2404 3005 4207 4808 6010 8414 12020 16828 21035 24040 33656 42070 84140 168280 725107679 1450215358 2900430716 3625538395 5075753753 5800861432 7251076790 10151507506 14502153580 20303015012 25378768765 29004307160 40606030024 50757537530 101515075060 203030150120 435789715079 871579430158 1743158860316 2178948575395 3050528005553 3486317720632 4357897150790 6101056011106 8715794301580 12202112022212 15252640027765 17431588603160 24404224044424 30505280055530 61010560111060 122021120222120