120556800000 has 1728 divisors, whose sum is σ = 558931726080. Its totient is φ = 24330240000.

The previous prime is 120556799989. The next prime is 120556800011. The reversal of 120556800000 is 8655021.

It is an interprime number because it is at equal distance from previous prime (120556799989) and next prime (120556800011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5241599989 + ... + 5241600011.

It is an arithmetic number, because the mean of its divisors is an integer number (323455860).

Almost surely, 2^120556800000 is an apocalyptic number.

120556800000 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 120556800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279465863040).

120556800000 is an abundant number, since it is smaller than the sum of its proper divisors (438374926080).

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

120556800000 is an equidigital number, since it uses as much as digits as its factorization.

120556800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 120556800000 in words is "one hundred twenty billion, five hundred fifty-six million, eight hundred thousand".