120900875598720 has 4096 divisors, whose sum is σ = 561763123200000. Its totient is φ = 23932781199360.

The previous prime is 120900875598719. The next prime is 120900875598749. The reversal of 120900875598720 is 27895578009021.

120900875598720 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 0 + 8 + 7 + 559 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 145839415266 + ... + 145839416094.

It is an arithmetic number, because the mean of its divisors is an integer number (137149200000).

Almost surely, 2^{120900875598720} is an apocalyptic number.

120900875598720 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 120900875598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280881561600000).

120900875598720 is an abundant number, since it is smaller than the sum of its proper divisors (440862247601280).

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

120900875598720 is a wasteful number, since it uses less digits than its factorization.

120900875598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 120900875598720 in words is "one hundred twenty trillion, nine hundred billion, eight hundred seventy-five million, five hundred ninety-eight thousand, seven hundred twenty".