120079582656 has 224 divisors, whose sum is σ = 359381145600. Its totient is φ = 35051089920.

The previous prime is 120079582631. The next prime is 120079582663. The reversal of 120079582656 is 656285970021.

It is a junction number, because it is equal to n+sod(n) for n = 120079582599 and 120079582608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29335746 + ... + 29339838.

Almost surely, 2^120079582656 is an apocalyptic number.

120079582656 is a gapful number since it is divisible by the number (16) 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 120079582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179690572800).

120079582656 is an abundant number, since it is smaller than the sum of its proper divisors (239301562944).

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

120079582656 is a wasteful number, since it uses less digits than its factorization.

120079582656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 120079582656 in words is "one hundred twenty billion, seventy-nine million, five hundred eighty-two thousand, six hundred fifty-six".