120520291200 has 384 divisors, whose sum is σ = 405469584000. Its totient is φ = 31455191040.

The previous prime is 120520291187. The next prime is 120520291223. The reversal of 120520291200 is 2192025021.

120520291200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220329327 + ... + 220329873.

It is an arithmetic number, because the mean of its divisors is an integer number (1055910375).

Almost surely, 2^120520291200 is an apocalyptic number.

120520291200 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 120520291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202734792000).

120520291200 is an abundant number, since it is smaller than the sum of its proper divisors (284949292800).

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

120520291200 is a wasteful number, since it uses less digits than its factorization.

120520291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 120520291200 in words is "one hundred twenty billion, five hundred twenty million, two hundred ninety-one thousand, two hundred".