12801824712 has 128 divisors (see below), whose sum is σ = 37707120000. Its totient is φ = 4012996608.

The previous prime is 12801824701. The next prime is 12801824741. The reversal of 12801824712 is 21742810821.

It is a happy number.

12801824712 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 182 + 471 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550864 + ... + 573632.

It is an arithmetic number, because the mean of its divisors is an integer number (294586875).

Almost surely, 2^12801824712 is an apocalyptic number.

12801824712 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 12801824712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853560000).

12801824712 is an abundant number, since it is smaller than the sum of its proper divisors (24905295288).

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

12801824712 is a wasteful number, since it uses less digits than its factorization.

12801824712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22940 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12801824712 in words is "twelve billion, eight hundred one million, eight hundred twenty-four thousand, seven hundred twelve".