12192264 has 96 divisors (see below), whose sum is σ = 39985920. Its totient is φ = 3276288.

The previous prime is 12192239. The next prime is 12192287. The reversal of 12192264 is 46229121.

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

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, 7857 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (416520).

Almost surely, 2^12192264 is an apocalyptic number.

12192264 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 12192264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992960).

12192264 is an abundant number, since it is smaller than the sum of its proper divisors (27793656).

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

12192264 is a wasteful number, since it uses less digits than its factorization.

12192264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1452 counting only the distinct ones).

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

The square root of 12192264 is about 3491.7422585294. The cubic root of 12192264 is about 230.1590833887.

The spelling of 12192264 in words is "twelve million, one hundred ninety-two thousand, two hundred sixty-four".