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212112022222120 = 23530717272965979
BaseRepresentation
bin110000001110101000101101…
…101111001011010100101000
31000211000201012112021122222111
4300032220231233023110220
5210300220410142101440
62031042530124332104
762451405434445016
oct6016505557132450
91024021175248874
10212112022222120
1161649226882709
121b9588930a4034
1391481021036a7
143a543c31c78b6
15197c7c18a94ea
hexc0ea2dbcb528

212112022222120 has 32 divisors (see below), whose sum is σ = 478806616965600. Its totient is φ = 84568441428288.

The previous prime is 212112022222081. The next prime is 212112022222213. The reversal of 212112022222120 is 21222220211212.

It is a super-3 number, since 3×2121120222221203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212112022222091 and 212112022222100.

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 7 ways as a sum of consecutive naturals, for example, 8636470710 + ... + 8636495269.

It is an arithmetic number, because the mean of its divisors is an integer number (14962706780175).

Almost surely, 2212112022222120 is an apocalyptic number.

212112022222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112022222120 is an abundant number, since it is smaller than the sum of its proper divisors (266694594743480).

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

212112022222120 is a wasteful number, since it uses less digits than its factorization.

212112022222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272966297 (or 17272966293 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212112022222120 its reverse (21222220211212), we get a palindrome (233334242433332).

The spelling of 212112022222120 in words is "two hundred twelve trillion, one hundred twelve billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 307 614 1228 1535 2456 3070 6140 12280 17272965979 34545931958 69091863916 86364829895 138183727832 172729659790 345459319580 690918639160 5302800555553 10605601111106 21211202222212 26514002777765 42422404444424 53028005555530 106056011111060 212112022222120