120888393116400 has 2880 divisors, whose sum is σ = 560960762880000. Its totient is φ = 24679381708800.

The previous prime is 120888393116377. The next prime is 120888393116429. The reversal of 120888393116400 is 4611393888021.

120888393116400 is a `hidden beast` number, since 1 + 20 + 8 + 88 + 393 + 116 + 40 + 0 = 666.

It is a super-4 number, since 4×120888393116400⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19407348486 + ... + 19407354714.

Almost surely, 2^{120888393116400} is an apocalyptic number.

120888393116400 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 120888393116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280480381440000).

120888393116400 is an abundant number, since it is smaller than the sum of its proper divisors (440072369763600).

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

120888393116400 is a wasteful number, since it uses less digits than its factorization.

120888393116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 120888393116400 in words is "one hundred twenty trillion, eight hundred eighty-eight billion, three hundred ninety-three million, one hundred sixteen thousand, four hundred".