122164938 has 96 divisors (see below), whose sum is σ = 315993600. Its totient is φ = 34080480.

The previous prime is 122164747. The next prime is 122164969. The reversal of 122164938 is 839461221.

122164938 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 649 + 3 + 8 = 666.

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, 289968 + ... + 290388.

It is an arithmetic number, because the mean of its divisors is an integer number (3291600).

Almost surely, 2^122164938 is an apocalyptic number.

122164938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122164938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157996800).

122164938 is an abundant number, since it is smaller than the sum of its proper divisors (193828662).

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

122164938 is a wasteful number, since it uses less digits than its factorization.

122164938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 122164938 is about 11052.8248877832. The cubic root of 122164938 is about 496.1909736552.

The spelling of 122164938 in words is "one hundred twenty-two million, one hundred sixty-four thousand, nine hundred thirty-eight".