12906972 has 96 divisors (see below), whose sum is σ = 37396800. Its totient is φ = 3822336.

The previous prime is 12906967. The next prime is 12906977. The reversal of 12906972 is 27960921.

It is an interprime number because it is at equal distance from previous prime (12906967) and next prime (12906977).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12906977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40558 + ... + 40874.

It is an arithmetic number, because the mean of its divisors is an integer number (389550).

Almost surely, 2^12906972 is an apocalyptic number.

12906972 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 12906972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698400).

12906972 is an abundant number, since it is smaller than the sum of its proper divisors (24489828).

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

12906972 is a wasteful number, since it uses less digits than its factorization.

12906972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12906972 is about 3592.6274507664. The cubic root of 12906972 is about 234.5712538610.

The spelling of 12906972 in words is "twelve million, nine hundred six thousand, nine hundred seventy-two".