122168409166560 has 96 divisors (see below), whose sum is σ = 385428982055040. Its totient is φ = 32527576355328.

The previous prime is 122168409166543. The next prime is 122168409166561. The reversal of 122168409166560 is 65661904861221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 122168409166560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122168409166561) 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, 197605450 + ... + 198222729.

It is an arithmetic number, because the mean of its divisors is an integer number (4014885229740).

Almost surely, 2^{122168409166560} is an apocalyptic number.

122168409166560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122168409166560 is an abundant number, since it is smaller than the sum of its proper divisors (263260572888480).

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

122168409166560 is a wasteful number, since it uses less digits than its factorization.

122168409166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395828840 (or 395828832 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 122168409166560 in words is "one hundred twenty-two trillion, one hundred sixty-eight billion, four hundred nine million, one hundred sixty-six thousand, five hundred sixty".