120597824160 has 384 divisors, whose sum is σ = 461180563200. Its totient is φ = 29190389760.

The previous prime is 120597824147. The next prime is 120597824189. The reversal of 120597824160 is 61428795021.

120597824160 is a `hidden beast` number, since 1 + 20 + 597 + 8 + 24 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38442112 + ... + 38445248.

It is an arithmetic number, because the mean of its divisors is an integer number (1200991050).

Almost surely, 2^120597824160 is an apocalyptic number.

120597824160 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 120597824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230590281600).

120597824160 is an abundant number, since it is smaller than the sum of its proper divisors (340582739040).

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

120597824160 is a wasteful number, since it uses less digits than its factorization.

120597824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120597824160 in words is "one hundred twenty billion, five hundred ninety-seven million, eight hundred twenty-four thousand, one hundred sixty".