120256677135 has 192 divisors, whose sum is σ = 256628736000. Its totient is φ = 52882492032.

The previous prime is 120256677133. The next prime is 120256677137. The reversal of 120256677135 is 531776652021.

It is a happy number.

120256677135 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 566 + 77 + 13 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (120256677133) and next prime (120256677137).

It is not a de Polignac number, because 120256677135 - 2¹ = 120256677133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120256677133) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23581816 + ... + 23586914.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608000).

Almost surely, 2^120256677135 is an apocalyptic number.

120256677135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120256677135 is an abundant number, since it is smaller than the sum of its proper divisors (136372058865).

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

120256677135 is an equidigital number, since it uses as much as digits as its factorization.

120256677135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 120256677135 in words is "one hundred twenty billion, two hundred fifty-six million, six hundred seventy-seven thousand, one hundred thirty-five".