120312508680 has 768 divisors, whose sum is σ = 505727712000. Its totient is φ = 25216966656.

The previous prime is 120312508663. The next prime is 120312508691. The reversal of 120312508680 is 86805213021.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 123144352 + ... + 123145328.

It is an arithmetic number, because the mean of its divisors is an integer number (658499625).

Almost surely, 2^120312508680 is an apocalyptic number.

120312508680 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 120312508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252863856000).

120312508680 is an abundant number, since it is smaller than the sum of its proper divisors (385415203320).

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

120312508680 is a wasteful number, since it uses less digits than its factorization.

120312508680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 120312508680 in words is "one hundred twenty billion, three hundred twelve million, five hundred eight thousand, six hundred eighty".