12396993840 has 640 divisors, whose sum is σ = 56053555200. Its totient is φ = 2439797760.

The previous prime is 12396993811. The next prime is 12396993883. The reversal of 12396993840 is 4839969321.

12396993840 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3158119 + ... + 3162041.

It is an arithmetic number, because the mean of its divisors is an integer number (87583680).

Almost surely, 2^12396993840 is an apocalyptic number.

12396993840 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 12396993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026777600).

12396993840 is an abundant number, since it is smaller than the sum of its proper divisors (43656561360).

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

12396993840 is a wasteful number, since it uses less digits than its factorization.

12396993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12396993840 in words is "twelve billion, three hundred ninety-six million, nine hundred ninety-three thousand, eight hundred forty".