123693612960 has 192 divisors, whose sum is σ = 414130413312. Its totient is φ = 30926094336.

The previous prime is 123693612941. The next prime is 123693612961. The reversal of 123693612960 is 69216396321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (123693612961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2117262 + ... + 2174898.

It is an arithmetic number, because the mean of its divisors is an integer number (2156929236).

Almost surely, 2^123693612960 is an apocalyptic number.

123693612960 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 123693612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207065206656).

123693612960 is an abundant number, since it is smaller than the sum of its proper divisors (290436800352).

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

123693612960 is a wasteful number, since it uses less digits than its factorization.

123693612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57935 (or 57927 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 123693612960 in words is "one hundred twenty-three billion, six hundred ninety-three million, six hundred twelve thousand, nine hundred sixty".