12696192 has 96 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 4151808.

The previous prime is 12696191. The next prime is 12696193. The reversal of 12696192 is 29169621.

It is an interprime number because it is at equal distance from previous prime (12696191) and next prime (12696193).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12696192² = 322386582601728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118603 + ... + 118709.

It is an arithmetic number, because the mean of its divisors is an integer number (387855).

Almost surely, 2^12696192 is an apocalyptic number.

12696192 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 12696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

12696192 is an abundant number, since it is smaller than the sum of its proper divisors (24537888).

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

12696192 is a wasteful number, since it uses less digits than its factorization.

12696192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12696192 is about 3563.1716209018. The cubic root of 12696192 is about 233.2873342430.

It can be divided in two parts, 1269619 and 2, that added together give a palindrome (1269621).

The spelling of 12696192 in words is "twelve million, six hundred ninety-six thousand, one hundred ninety-two".