120605318795936 has 96 divisors (see below), whose sum is σ = 270914461392960. Its totient is φ = 52357435600896.

The previous prime is 120605318795891. The next prime is 120605318795959. The reversal of 120605318795936 is 639597813506021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6265235 + ... + 16747053.

It is an arithmetic number, because the mean of its divisors is an integer number (2822025639510).

Almost surely, 2^{120605318795936} is an apocalyptic number.

120605318795936 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 120605318795936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135457230696480).

120605318795936 is an abundant number, since it is smaller than the sum of its proper divisors (150309142597024).

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

120605318795936 is a wasteful number, since it uses less digits than its factorization.

120605318795936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483486 (or 10483478 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 65.

The spelling of 120605318795936 in words is "one hundred twenty trillion, six hundred five billion, three hundred eighteen million, seven hundred ninety-five thousand, nine hundred thirty-six".