120975084000 has 144 divisors (see below), whose sum is σ = 429340700880. Its totient is φ = 32260012800.

The previous prime is 120975083989. The next prime is 120975084001. The reversal of 120975084000 is 480579021.

120975084000 is a `hidden beast` number, since 1 + 20 + 97 + 508 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120975084001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644210 + ... + 1716209.

It is an arithmetic number, because the mean of its divisors is an integer number (2981532645).

Almost surely, 2^120975084000 is an apocalyptic number.

120975084000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120975084000 is an abundant number, since it is smaller than the sum of its proper divisors (308365616880).

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

120975084000 is a wasteful number, since it uses less digits than its factorization.

120975084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360450 (or 3360429 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 120975084000 in words is "one hundred twenty billion, nine hundred seventy-five million, eighty-four thousand".