120756075552 has 72 divisors (see below), whose sum is σ = 392457252096. Its totient is φ = 34501735296.

The previous prime is 120756075551. The next prime is 120756075569. The reversal of 120756075552 is 255570657021.

120756075552 is a `hidden beast` number, since 1 + 20 + 7 + 5 + 6 + 0 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 120756075498 and 120756075507.

It is not an unprimeable number, because it can be changed into a prime (120756075551) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29947408 + ... + 29951439.

It is an arithmetic number, because the mean of its divisors is an integer number (5450795168).

Almost surely, 2^120756075552 is an apocalyptic number.

120756075552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120756075552 is an abundant number, since it is smaller than the sum of its proper divisors (271701176544).

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

120756075552 is a wasteful number, since it uses less digits than its factorization.

120756075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59898870 (or 59898859 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 120756075552 in words is "one hundred twenty billion, seven hundred fifty-six million, seventy-five thousand, five hundred fifty-two".