12078460800 has 864 divisors, whose sum is σ = 52156114920. Its totient is φ = 2752081920.

The previous prime is 12078460789. The next prime is 12078460813. The reversal of 12078460800 is 806487021.

12078460800 is a `hidden beast` number, since 120 + 78 + 460 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38102242 + ... + 38102558.

Almost surely, 2^12078460800 is an apocalyptic number.

12078460800 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 12078460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078057460).

12078460800 is an abundant number, since it is smaller than the sum of its proper divisors (40077654120).

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

12078460800 is an equidigital number, since it uses as much as digits as its factorization.

12078460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

It can be divided in two parts, 12078 and 460800, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 12078460800 in words is "twelve billion, seventy-eight million, four hundred sixty thousand, eight hundred".