120407080136256 has 441 divisors, whose sum is σ = 368447386681731. Its totient is φ = 39022502851584.

The previous prime is 120407080136251. The next prime is 120407080136267. The reversal of 120407080136256 is 652631080704021.

The square root of 120407080136256 is 10973016.

It is a perfect power (a square), and thus also a powerful number.

120407080136256 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 7 + 0 + 8 + 0 + 13 + 625 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98719803694656 + 21687276441600 = 9935784^2 + 4656960^2 .

It is not an unprimeable number, because it can be changed into a prime (120407080136251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 87696343186 + ... + 87696344558.

Almost surely, 2^{120407080136256} is an apocalyptic number.

120407080136256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120407080136256 is the 10973016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120407080136256

120407080136256 is an abundant number, since it is smaller than the sum of its proper divisors (248040306545475).

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

120407080136256 is an frugal number, since it uses more digits than its factorization.

120407080136256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 120407080136256 in words is "one hundred twenty trillion, four hundred seven billion, eighty million, one hundred thirty-six thousand, two hundred fifty-six".