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212123111121 = 3443120832917
BaseRepresentation
bin1100010110001110000…
…1011100111011010001
3202021112020001112120000
43011203201130323101
511433412004023441
6241240434240213
721216415460205
oct3054341347321
9667466045500
10212123111121
1181a62a69aa9
123513b726069
1317006b299cc
14a3a41c8b05
1557b79122b6
hex316385ced1

212123111121 has 40 divisors (see below), whose sum is σ = 317871886464. Its totient is φ = 140971220640.

The previous prime is 212123111117. The next prime is 212123111129. The reversal of 212123111121 is 121111321212.

It is a happy number.

212123111121 is a `hidden beast` number, since 21 + 212 + 311 + 1 + 121 = 666.

212123111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212123111121 - 22 = 212123111117 is a prime.

It is a super-2 number, since 2×2121231111212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212123111094 and 212123111103.

It is not an unprimeable number, because it can be changed into a prime (212123111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72718155 + ... + 72721071.

Almost surely, 2212123111121 is an apocalyptic number.

It is an amenable number.

212123111121 is a deficient number, since it is larger than the sum of its proper divisors (105748775343).

212123111121 is a wasteful number, since it uses less digits than its factorization.

212123111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 212123111121 its reverse (121111321212), we get a palindrome (333234432333).

The spelling of 212123111121 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 431 1293 2083 2917 3879 6249 8751 11637 18747 26253 34911 56241 78759 168723 236277 897773 1257227 2693319 3771681 6076111 8079957 11315043 18228333 24239871 33945129 54684999 72719613 101835387 164054997 492164991 2618803841 7856411523 23569234569 70707703707 212123111121