12972496 has 40 divisors (see below), whose sum is σ = 27353160. Its totient is φ = 5935104.

The previous prime is 12972461. The next prime is 12972521. The reversal of 12972496 is 69427921.

12972496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8410000 + 4562496 = 2900^2 + 2136^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9420 + ... + 10708.

It is an arithmetic number, because the mean of its divisors is an integer number (683829).

Almost surely, 2^12972496 is an apocalyptic number.

12972496 is a gapful number since it is divisible by the number (16) 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 12972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676580).

12972496 is an abundant number, since it is smaller than the sum of its proper divisors (14380664).

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

12972496 is a wasteful number, since it uses less digits than its factorization.

12972496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 12972496 is about 3601.7351374025. The cubic root of 12972496 is about 234.9675283336.

The spelling of 12972496 in words is "twelve million, nine hundred seventy-two thousand, four hundred ninety-six".