120617166551256 has 96 divisors (see below), whose sum is σ = 327514651869600. Its totient is φ = 40102035724800.

The previous prime is 120617166551171. The next prime is 120617166551267. The reversal of 120617166551256 is 652155661716021.

It is a happy number.

120617166551256 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 7 + 1 + 66 + 551 + 25 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65751900 + ... + 67561428.

It is an arithmetic number, because the mean of its divisors is an integer number (3411610956975).

Almost surely, 2^{120617166551256} is an apocalyptic number.

It is an amenable number.

120617166551256 is an abundant number, since it is smaller than the sum of its proper divisors (206897485318344).

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

120617166551256 is a wasteful number, since it uses less digits than its factorization.

120617166551256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811929 (or 1811922 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 120617166551256 in words is "one hundred twenty trillion, six hundred seventeen billion, one hundred sixty-six million, five hundred fifty-one thousand, two hundred fifty-six".