120655172202264 has 192 divisors, whose sum is σ = 382647774600000. Its totient is φ = 33624842711040.

The previous prime is 120655172202221. The next prime is 120655172202289. The reversal of 120655172202264 is 462202271556021.

120655172202264 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 551 + 72 + 2 + 0 + 2 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95438962 + ... + 96694910.

It is an arithmetic number, because the mean of its divisors is an integer number (1992957159375).

Almost surely, 2^{120655172202264} is an apocalyptic number.

120655172202264 is a gapful number since it is divisible by the number (14) 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 120655172202264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191323887300000).

120655172202264 is an abundant number, since it is smaller than the sum of its proper divisors (261992602397736).

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

120655172202264 is a wasteful number, since it uses less digits than its factorization.

120655172202264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260658 (or 1260651 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 120655172202264 in words is "one hundred twenty trillion, six hundred fifty-five billion, one hundred seventy-two million, two hundred two thousand, two hundred sixty-four".