12007346400 has 432 divisors, whose sum is σ = 50940489600. Its totient is φ = 2599879680.

The previous prime is 12007346389. The next prime is 12007346411. The reversal of 12007346400 is 464370021.

12007346400 is a `hidden beast` number, since 12 + 0 + 0 + 7 + 3 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12007346389) and next prime (12007346411).

It is a super-3 number, since 3×12007346400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951331 + ... + 963869.

It is an arithmetic number, because the mean of its divisors is an integer number (117917800).

Almost surely, 2^12007346400 is an apocalyptic number.

12007346400 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 12007346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470244800).

12007346400 is an abundant number, since it is smaller than the sum of its proper divisors (38933143200).

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

12007346400 is a wasteful number, since it uses less digits than its factorization.

12007346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 12007346400 in words is "twelve billion, seven million, three hundred forty-six thousand, four hundred".