120509199360 has 1408 divisors, whose sum is σ = 508415846400. Its totient is φ = 26754416640.

The previous prime is 120509199359. The next prime is 120509199397. The reversal of 120509199360 is 63991905021.

It is a happy number.

120509199360 is a `hidden beast` number, since 1 + 20 + 509 + 1 + 99 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1242362832 + ... + 1242362928.

It is an arithmetic number, because the mean of its divisors is an integer number (361090800).

Almost surely, 2^120509199360 is an apocalyptic number.

120509199360 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 120509199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254207923200).

120509199360 is an abundant number, since it is smaller than the sum of its proper divisors (387906647040).

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

120509199360 is a wasteful number, since it uses less digits than its factorization.

120509199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 120509199360 in words is "one hundred twenty billion, five hundred nine million, one hundred ninety-nine thousand, three hundred sixty".