123616005120 has 308 divisors, whose sum is σ = 444610365120. Its totient is φ = 32963272704.

The previous prime is 123616005101. The next prime is 123616005157. The reversal of 123616005120 is 21500616321.

123616005120 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 600 + 51 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3715921 + ... + 3749039.

Almost surely, 2^123616005120 is an apocalyptic number.

123616005120 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 123616005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222305182560).

123616005120 is an abundant number, since it is smaller than the sum of its proper divisors (320994360000).

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

123616005120 is an frugal number, since it uses more digits than its factorization.

123616005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33162 (or 33129 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 123616005120 in words is "one hundred twenty-three billion, six hundred sixteen million, five thousand, one hundred twenty".