12071404800 has 1296 divisors, whose sum is σ = 55354790400. Its totient is φ = 2492743680.

The previous prime is 12071404799. The next prime is 12071404819. The reversal of 12071404800 is 840417021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256838377 + ... + 256838423.

Almost surely, 2^12071404800 is an apocalyptic number.

12071404800 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 12071404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677395200).

12071404800 is an abundant number, since it is smaller than the sum of its proper divisors (43283385600).

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

12071404800 is a wasteful number, since it uses less digits than its factorization.

12071404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12071404800 in words is "twelve billion, seventy-one million, four hundred four thousand, eight hundred".