120424734720 has 784 divisors, whose sum is σ = 449098004520. Its totient is φ = 30958682112.

The previous prime is 120424734697. The next prime is 120424734797. The reversal of 120424734720 is 27437424021.

120424734720 is a `hidden beast` number, since 120 + 4 + 2 + 473 + 47 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118247952384 + 2176782336 = 343872^2 + 46656^2 .

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1104814026 + ... + 1104814134.

Almost surely, 2^120424734720 is an apocalyptic number.

120424734720 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 120424734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224549002260).

120424734720 is an abundant number, since it is smaller than the sum of its proper divisors (328673269800).

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

120424734720 is an frugal number, since it uses more digits than its factorization.

120424734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 120424734720 in words is "one hundred twenty billion, four hundred twenty-four million, seven hundred thirty-four thousand, seven hundred twenty".