123539916165120 has 1248 divisors, whose sum is σ = 550207429914240. Its totient is φ = 26065490411520.

The previous prime is 123539916165109. The next prime is 123539916165121. The reversal of 123539916165120 is 21561619935321.

123539916165120 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 9 + 9 + 1 + 616 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×123539916165120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (123539916165121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352060155 + ... + 352410885.

Almost surely, 2^{123539916165120} is an apocalyptic number.

123539916165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123539916165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275103714957120).

123539916165120 is an abundant number, since it is smaller than the sum of its proper divisors (426667513749120).

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

123539916165120 is a wasteful number, since it uses less digits than its factorization.

123539916165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350796 (or 350761 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 123539916165120 in words is "one hundred twenty-three trillion, five hundred thirty-nine billion, nine hundred sixteen million, one hundred sixty-five thousand, one hundred twenty".