120874360320 has 960 divisors, whose sum is σ = 506326075200. Its totient is φ = 27249868800.

The previous prime is 120874360319. The next prime is 120874360331. The reversal of 120874360320 is 23063478021.

It is a happy number.

120874360320 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 43 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×120874360320² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 301432120 + ... + 301432520.

It is an arithmetic number, because the mean of its divisors is an integer number (527422995).

Almost surely, 2^120874360320 is an apocalyptic number.

120874360320 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 120874360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253163037600).

120874360320 is an abundant number, since it is smaller than the sum of its proper divisors (385451714880).

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

120874360320 is an equidigital number, since it uses as much as digits as its factorization.

120874360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 120874360320 in words is "one hundred twenty billion, eight hundred seventy-four million, three hundred sixty thousand, three hundred twenty".