12122964 has 72 divisors (see below), whose sum is σ = 35555520. Its totient is φ = 3411072.

The previous prime is 12122941. The next prime is 12122977. The reversal of 12122964 is 46922121.

It is a super-2 number, since 2×12122964² = 293932512290592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18067 + ... + 18725.

Almost surely, 2^12122964 is an apocalyptic number.

12122964 is a gapful number since it is divisible by the number (14) 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 12122964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777760).

12122964 is an abundant number, since it is smaller than the sum of its proper divisors (23432556).

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

12122964 is a wasteful number, since it uses less digits than its factorization.

12122964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12122964 is about 3481.8047044600. The cubic root of 12122964 is about 229.7221850438.

The spelling of 12122964 in words is "twelve million, one hundred twenty-two thousand, nine hundred sixty-four".