12680890371072 has 1760 divisors, whose sum is σ = 51314722652160. Its totient is φ = 3018829824000.

The previous prime is 12680890371031. The next prime is 12680890371089. The reversal of 12680890371072 is 27017309808621.

It is a happy number.

12680890371072 is a `hidden beast` number, since 1 + 268 + 0 + 8 + 9 + 0 + 371 + 0 + 7 + 2 = 666.

12680890371072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3761757547 + ... + 3761760917.

It is an arithmetic number, because the mean of its divisors is an integer number (29156092416).

Almost surely, 2^{12680890371072} is an apocalyptic number.

12680890371072 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 12680890371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25657361326080).

12680890371072 is an abundant number, since it is smaller than the sum of its proper divisors (38633832281088).

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

12680890371072 is a wasteful number, since it uses less digits than its factorization.

12680890371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 12680890371072 in words is "twelve trillion, six hundred eighty billion, eight hundred ninety million, three hundred seventy-one thousand, seventy-two".