120725176320 has 960 divisors, whose sum is σ = 518214153600. Its totient is φ = 25367150592.

The previous prime is 120725176291. The next prime is 120725176321. The reversal of 120725176320 is 23671527021.

120725176320 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 5 + 17 + 632 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (120725176321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2807562219 + ... + 2807562261.

It is an arithmetic number, because the mean of its divisors is an integer number (539806410).

Almost surely, 2^120725176320 is an apocalyptic number.

120725176320 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 120725176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259107076800).

120725176320 is an abundant number, since it is smaller than the sum of its proper divisors (397488977280).

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

120725176320 is an frugal number, since it uses more digits than its factorization.

120725176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 120725176320 in words is "one hundred twenty billion, seven hundred twenty-five million, one hundred seventy-six thousand, three hundred twenty".