120721346256 has 480 divisors, whose sum is σ = 390508243968. Its totient is φ = 31979888640.

The previous prime is 120721346231. The next prime is 120721346281. The reversal of 120721346256 is 652643127021.

It is an interprime number because it is at equal distance from previous prime (120721346231) and next prime (120721346281).

It is a super-2 number, since 2×120721346256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196935006 + ... + 196935618.

Almost surely, 2^120721346256 is an apocalyptic number.

120721346256 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 120721346256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195254121984).

120721346256 is an abundant number, since it is smaller than the sum of its proper divisors (269786897712).

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

120721346256 is a wasteful number, since it uses less digits than its factorization.

120721346256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 120721346256 in words is "one hundred twenty billion, seven hundred twenty-one million, three hundred forty-six thousand, two hundred fifty-six".