12972441600 has 900 divisors, whose sum is σ = 53096695344. Its totient is φ = 3114270720.

The previous prime is 12972441593. The next prime is 12972441607. The reversal of 12972441600 is 614427921.

It is a happy number.

12972441600 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 2 + 4 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12972441593) and next prime (12972441607).

It is a tau number, because it is divible by the number of its divisors (900).

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 (12972441607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 564019189 + ... + 564019211.

Almost surely, 2^12972441600 is an apocalyptic number.

12972441600 is a gapful number since it is divisible by the number (10) 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 12972441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26548347672).

12972441600 is an abundant number, since it is smaller than the sum of its proper divisors (40124253744).

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

12972441600 is an equidigital number, since it uses as much as digits as its factorization.

12972441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12972441600 in words is "twelve billion, nine hundred seventy-two million, four hundred forty-one thousand, six hundred".