120156664320 has 960 divisors, whose sum is σ = 525338161920. Its totient is φ = 24654643200.

The previous prime is 120156664307. The next prime is 120156664393. The reversal of 120156664320 is 23466651021.

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

It is a super-2 number, since 2×120156664320² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157892740 + ... + 157893500.

It is an arithmetic number, because the mean of its divisors is an integer number (547227252).

Almost surely, 2^120156664320 is an apocalyptic number.

120156664320 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 120156664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262669080960).

120156664320 is an abundant number, since it is smaller than the sum of its proper divisors (405181497600).

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

120156664320 is a wasteful number, since it uses less digits than its factorization.

120156664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 120156664320 in words is "one hundred twenty billion, one hundred fifty-six million, six hundred sixty-four thousand, three hundred twenty".