122266512 has 60 divisors (see below), whose sum is σ = 344503744. Its totient is φ = 40478400.

The previous prime is 122266493. The next prime is 122266579. The reversal of 122266512 is 215662221.

122266512 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 6 + 651 + 2 = 666.

It is a super-2 number, since 2×122266512² = 29898199913292288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18933 + ... + 24555.

Almost surely, 2^122266512 is an apocalyptic number.

122266512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122266512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172251872).

122266512 is an abundant number, since it is smaller than the sum of its proper divisors (222237232).

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

122266512 is a wasteful number, since it uses less digits than its factorization.

122266512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5779 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 122266512 is about 11057.4188669870. The cubic root of 122266512 is about 496.3284548367.

The spelling of 122266512 in words is "one hundred twenty-two million, two hundred sixty-six thousand, five hundred twelve".