120756232080000 has 3200 divisors, whose sum is σ = 518707068105600. Its totient is φ = 27590492160000.

The previous prime is 120756232079941. The next prime is 120756232080031. The reversal of 120756232080000 is 80232657021.

120756232080000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 623 + 20 + 8 + 0 + 0 + 0 + 0 = 666.

120756232080000 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 (3200).

It is a super-2 number, since 2×120756232080000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 119679119496 + ... + 119679120504.

It is an arithmetic number, because the mean of its divisors is an integer number (162095958783).

Almost surely, 2^{120756232080000} is an apocalyptic number.

120756232080000 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 120756232080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259353534052800).

120756232080000 is an abundant number, since it is smaller than the sum of its proper divisors (397950836025600).

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

120756232080000 is a wasteful number, since it uses less digits than its factorization.

120756232080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120756232080000 in words is "one hundred twenty trillion, seven hundred fifty-six billion, two hundred thirty-two million, eighty thousand".