122795111081664 has 252 divisors, whose sum is σ = 415201196721168. Its totient is φ = 34590171571200.

The previous prime is 122795111081639. The next prime is 122795111081681. The reversal of 122795111081664 is 466180111597221.

It is a happy number.

122795111081664 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 9 + 511 + 108 + 16 + 6 + 4 = 666.

122795111081664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 122795111081664.

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 35 ways as a sum of consecutive naturals, for example, 28635067 + ... + 32642874.

Almost surely, 2^{122795111081664} is an apocalyptic number.

122795111081664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122795111081664 is an abundant number, since it is smaller than the sum of its proper divisors (292406085639504).

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

122795111081664 is a wasteful number, since it uses less digits than its factorization.

122795111081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61278044 (or 61278024 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 122795111081664 in words is "one hundred twenty-two trillion, seven hundred ninety-five billion, one hundred eleven million, eighty-one thousand, six hundred sixty-four".