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122111112012 = 22310175926001
BaseRepresentation
bin111000110111001100…
…0111011001101001100
3102200012010121012202020
41301232120323031030
54000040421041022
6132032544530140
711552012216631
oct1615630731514
9380163535666
10122111112012
11478725a289a
121b7ba920950
13b690695c86
145ca5886188
15329a4b535c
hex1c6e63b34c

122111112012 has 12 divisors (see below), whose sum is σ = 284925928056. Its totient is φ = 40703704000.

The previous prime is 122111111987. The next prime is 122111112017. The reversal of 122111112012 is 210211111221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1221111120122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111111982 and 122111112000.

It is not an unprimeable number, because it can be changed into a prime (122111112017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5087962989 + ... + 5087963012.

It is an arithmetic number, because the mean of its divisors is an integer number (23743827338).

Almost surely, 2122111112012 is an apocalyptic number.

122111112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111112012 is an abundant number, since it is smaller than the sum of its proper divisors (162814816044).

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

122111112012 is a wasteful number, since it uses less digits than its factorization.

122111112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175926008 (or 10175926006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111112012 its reverse (210211111221), we get a palindrome (332322223233).

The spelling of 122111112012 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 10175926001 20351852002 30527778003 40703704004 61055556006 122111112012