12984972 has 192 divisors, whose sum is σ = 43352064. Its totient is φ = 2914560.

The previous prime is 12984971. The next prime is 12984973. The reversal of 12984972 is 27948921.

It is an interprime number because it is at equal distance from previous prime (12984971) and next prime (12984973).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (72576) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (12984971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276253 + ... + 276299.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 2^12984972 is an apocalyptic number.

12984972 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 12984972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676032).

12984972 is an abundant number, since it is smaller than the sum of its proper divisors (30367092).

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

12984972 is a wasteful number, since it uses less digits than its factorization.

12984972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 12984972 is about 3603.4666641999. The cubic root of 12984972 is about 235.0428290733.

It can be divided in two parts, 129849 and 72, that added together give a palindrome (129921).

The spelling of 12984972 in words is "twelve million, nine hundred eighty-four thousand, nine hundred seventy-two".