120771436800 has 1296 divisors, whose sum is σ = 495127309824. Its totient is φ = 25804800000.

The previous prime is 120771436783. The next prime is 120771436813. The reversal of 120771436800 is 8634177021.

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, 1195756750 + ... + 1195756850.

Almost surely, 2^120771436800 is an apocalyptic number.

120771436800 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 120771436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247563654912).

120771436800 is an abundant number, since it is smaller than the sum of its proper divisors (374355873024).

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

120771436800 is a wasteful number, since it uses less digits than its factorization.

120771436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 120771436800 in words is "one hundred twenty billion, seven hundred seventy-one million, four hundred thirty-six thousand, eight hundred".