120577688000 has 224 divisors, whose sum is σ = 372295692288. Its totient is φ = 37582464000.

The previous prime is 120577687991. The next prime is 120577688039. The reversal of 120577688000 is 886775021.

120577688000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 518129 + ... + 713871.

Almost surely, 2^120577688000 is an apocalyptic number.

120577688000 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 120577688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186147846144).

120577688000 is an abundant number, since it is smaller than the sum of its proper divisors (251718004288).

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

120577688000 is a wasteful number, since it uses less digits than its factorization.

120577688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195788 (or 195768 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 120577688000 in words is "one hundred twenty billion, five hundred seventy-seven million, six hundred eighty-eight thousand".