120832814268 has 36 divisors (see below), whose sum is σ = 323405475120. Its totient is φ = 37908333696.

The previous prime is 120832814231. The next prime is 120832814279. The reversal of 120832814268 is 862418238021.

120832814268 is a `hidden beast` number, since 120 + 8 + 328 + 142 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98719008 + ... + 98720231.

It is an arithmetic number, because the mean of its divisors is an integer number (8983485420).

Almost surely, 2^120832814268 is an apocalyptic number.

120832814268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120832814268 is an abundant number, since it is smaller than the sum of its proper divisors (202572660852).

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

120832814268 is a wasteful number, since it uses less digits than its factorization.

120832814268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197439266 (or 197439261 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 120832814268 in words is "one hundred twenty billion, eight hundred thirty-two million, eight hundred fourteen thousand, two hundred sixty-eight".