123412607120 has 80 divisors (see below), whose sum is σ = 313222006080. Its totient is φ = 44848243200.

The previous prime is 123412607111. The next prime is 123412607177. The reversal of 123412607120 is 21706214321.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337846 + ... + 1427114.

It is an arithmetic number, because the mean of its divisors is an integer number (3915275076).

Almost surely, 2^123412607120 is an apocalyptic number.

123412607120 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 123412607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156611003040).

123412607120 is an abundant number, since it is smaller than the sum of its proper divisors (189809398960).

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

123412607120 is a wasteful number, since it uses less digits than its factorization.

123412607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90864 (or 90858 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 123412607120 in words is "one hundred twenty-three billion, four hundred twelve million, six hundred seven thousand, one hundred twenty".