120074644800 has 1512 divisors, whose sum is σ = 514366593312. Its totient is φ = 26320896000.

The previous prime is 120074644799. The next prime is 120074644841. The reversal of 120074644800 is 8446470021.

120074644800 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 4 + 644 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1968436770 + ... + 1968436830.

Almost surely, 2^120074644800 is an apocalyptic number.

120074644800 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 120074644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257183296656).

120074644800 is an abundant number, since it is smaller than the sum of its proper divisors (394291948512).

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

120074644800 is a wasteful number, since it uses less digits than its factorization.

120074644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 120074644800 in words is "one hundred twenty billion, seventy-four million, six hundred forty-four thousand, eight hundred".