122164461 has 24 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 79080000.

The previous prime is 122164451. The next prime is 122164507. The reversal of 122164461 is 164461221.

122164461 is a `hidden beast` number, since 1 + 2 + 216 + 446 + 1 = 666.

It is not a de Polignac number, because 122164461 - 2²⁵ = 88610029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122164411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91960 + ... + 93278.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^122164461 is an apocalyptic number.

It is an amenable number.

122164461 is a deficient number, since it is larger than the sum of its proper divisors (59456979).

122164461 is a wasteful number, since it uses less digits than its factorization.

122164461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1614 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 122164461 is about 11052.8033095681. The cubic root of 122164461 is about 496.1903278523.

The spelling of 122164461 in words is "one hundred twenty-two million, one hundred sixty-four thousand, four hundred sixty-one".