12972967920 has 240 divisors, whose sum is σ = 50324537952. Its totient is φ = 2959933440.

The previous prime is 12972967883. The next prime is 12972967921. The reversal of 12972967920 is 2976927921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972967921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86464 + ... + 182816.

Almost surely, 2^12972967920 is an apocalyptic number.

12972967920 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 12972967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162268976).

12972967920 is an abundant number, since it is smaller than the sum of its proper divisors (37351570032).

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

12972967920 is a wasteful number, since it uses less digits than its factorization.

12972967920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96400 (or 96391 counting only the distinct ones).

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

The spelling of 12972967920 in words is "twelve billion, nine hundred seventy-two million, nine hundred sixty-seven thousand, nine hundred twenty".