12971993472 has 96 divisors (see below), whose sum is σ = 37362542880. Its totient is φ = 4320027648.

The previous prime is 12971993453. The next prime is 12971993473. The reversal of 12971993472 is 27439917921.

It is a happy number.

12971993472 is a `hidden beast` number, since 1 + 297 + 1 + 9 + 9 + 347 + 2 = 666.

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

It is a super-2 number, since 2×12971993472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12971993473) 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, 1420473 + ... + 1429575.

It is an arithmetic number, because the mean of its divisors is an integer number (389193155).

Almost surely, 2^12971993472 is an apocalyptic number.

12971993472 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 12971993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681271440).

12971993472 is an abundant number, since it is smaller than the sum of its proper divisors (24390549408).

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

12971993472 is a wasteful number, since it uses less digits than its factorization.

12971993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10345 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 12971993472 in words is "twelve billion, nine hundred seventy-one million, nine hundred ninety-three thousand, four hundred seventy-two".