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122951949012 = 22323415331917
BaseRepresentation
bin111001010000010000…
…0011101101011010100
3102202100201210011021100
41302200200131223110
54003301144332022
6132252222550100
711611602215514
oct1624040355324
9382321704240
10122951949012
1148164196102
121b9b4438330
13b795946669
145d45401844
1532e92071ac
hex1ca081dad4

122951949012 has 18 divisors (see below), whose sum is σ = 310795204538. Its totient is φ = 40983982992.

The previous prime is 122951949011. The next prime is 122951949037. The reversal of 122951949012 is 210949159221.

122951949012 is a `hidden beast` number, since 12 + 29 + 519 + 4 + 90 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93558903876 + 29393045136 = 305874^2 + 171444^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1229519490122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122951949011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1707665923 + ... + 1707665994.

Almost surely, 2122951949012 is an apocalyptic number.

122951949012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122951949012 is an abundant number, since it is smaller than the sum of its proper divisors (187843255526).

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

122951949012 is a wasteful number, since it uses less digits than its factorization.

122951949012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415331927 (or 3415331922 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 122951949012 in words is "one hundred twenty-two billion, nine hundred fifty-one million, nine hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3415331917 6830663834 10245995751 13661327668 20491991502 30737987253 40983983004 61475974506 122951949012