120918240256 has 176 divisors, whose sum is σ = 267809697792. Its totient is φ = 54112665600.

The previous prime is 120918240229. The next prime is 120918240259. The reversal of 120918240256 is 652042819021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (120918240259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258925335 + ... + 258925801.

Almost surely, 2^120918240256 is an apocalyptic number.

120918240256 is a gapful number since it is divisible by the number (16) 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 120918240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133904848896).

120918240256 is an abundant number, since it is smaller than the sum of its proper divisors (146891457536).

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

120918240256 is a wasteful number, since it uses less digits than its factorization.

120918240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 120918240256 in words is "one hundred twenty billion, nine hundred eighteen million, two hundred forty thousand, two hundred fifty-six".