12640881972096 has 288 divisors, whose sum is σ = 42350661011880. Its totient is φ = 3608577423360.

The previous prime is 12640881972049. The next prime is 12640881972097. The reversal of 12640881972096 is 69027918804621.

12640881972096 is a `hidden beast` number, since 1 + 2 + 6 + 408 + 8 + 19 + 7 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640881972097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66004990 + ... + 66196226.

Almost surely, 2^{12640881972096} is an apocalyptic number.

12640881972096 is a gapful number since it is divisible by the number (16) 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 12640881972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175330505940).

12640881972096 is an abundant number, since it is smaller than the sum of its proper divisors (29709779039784).

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

12640881972096 is a wasteful number, since it uses less digits than its factorization.

12640881972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192442 (or 192420 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 12640881972096 in words is "twelve trillion, six hundred forty billion, eight hundred eighty-one million, nine hundred seventy-two thousand, ninety-six".