12406993920 has 528 divisors, whose sum is σ = 46596925440. Its totient is φ = 3041722368.

The previous prime is 12406993919. The next prime is 12406993979. The reversal of 12406993920 is 2939960421.

12406993920 = 11381² + 11382² + ... + 11475².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32394049 + ... + 32394431.

Almost surely, 2^12406993920 is an apocalyptic number.

12406993920 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 12406993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298462720).

12406993920 is an abundant number, since it is smaller than the sum of its proper divisors (34189931520).

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

12406993920 is a wasteful number, since it uses less digits than its factorization.

12406993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12406993920 in words is "twelve billion, four hundred six million, nine hundred ninety-three thousand, nine hundred twenty".