120161077732800 has 672 divisors, whose sum is σ = 473842232156160. Its totient is φ = 29445443481600.

The previous prime is 120161077732799. The next prime is 120161077732867. The reversal of 120161077732800 is 8237770161021.

120161077732800 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 610 + 7 + 7 + 7 + 3 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 124757065 + ... + 125716535.

It is an arithmetic number, because the mean of its divisors is an integer number (705122369280).

Almost surely, 2^{120161077732800} is an apocalyptic number.

120161077732800 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 120161077732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236921116078080).

120161077732800 is an abundant number, since it is smaller than the sum of its proper divisors (353681154423360).

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

120161077732800 is a wasteful number, since it uses less digits than its factorization.

120161077732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959738 (or 959717 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 120161077732800 in words is "one hundred twenty trillion, one hundred sixty-one billion, seventy-seven million, seven hundred thirty-two thousand, eight hundred".