123122853504 has 144 divisors (see below), whose sum is σ = 412143733170. Its totient is φ = 35177942016.

The previous prime is 123122853479. The next prime is 123122853523. The reversal of 123122853504 is 405358221321.

123122853504 is a `hidden beast` number, since 1 + 23 + 1 + 2 + 285 + 350 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78243278400 + 44879575104 = 279720^2 + 211848^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1034139 + ... + 1147034.

Almost surely, 2^123122853504 is an apocalyptic number.

123122853504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123122853504 is an abundant number, since it is smaller than the sum of its proper divisors (289020879666).

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

123122853504 is a wasteful number, since it uses less digits than its factorization.

123122853504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181207 (or 2181185 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 123122853504 in words is "one hundred twenty-three billion, one hundred twenty-two million, eight hundred fifty-three thousand, five hundred four".