120149305920 has 672 divisors, whose sum is σ = 500194356480. Its totient is φ = 25858621440.

The previous prime is 120149305909. The next prime is 120149305951. The reversal of 120149305920 is 29503941021.

120149305920 is a `hidden beast` number, since 1 + 20 + 1 + 49 + 3 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 69329374 + ... + 69331106.

It is an arithmetic number, because the mean of its divisors is an integer number (744336840).

Almost surely, 2^120149305920 is an apocalyptic number.

120149305920 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 120149305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250097178240).

120149305920 is an abundant number, since it is smaller than the sum of its proper divisors (380045050560).

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

120149305920 is a wasteful number, since it uses less digits than its factorization.

120149305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 120149305920 in words is "one hundred twenty billion, one hundred forty-nine million, three hundred five thousand, nine hundred twenty".