12080703398400 has 3360 divisors, whose sum is σ = 56741922534528. Its totient is φ = 2479561113600.

The previous prime is 12080703398381. The next prime is 12080703398443. The reversal of 12080703398400 is 489330708021.

12080703398400 is a `hidden beast` number, since 1 + 208 + 0 + 7 + 0 + 3 + 39 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×12080703398400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 34814707027 + ... + 34814707373.

Almost surely, 2^{12080703398400} is an apocalyptic number.

12080703398400 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 12080703398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28370961267264).

12080703398400 is an abundant number, since it is smaller than the sum of its proper divisors (44661219136128).

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

12080703398400 is an equidigital number, since it uses as much as digits as its factorization.

12080703398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12080703398400 in words is "twelve trillion, eighty billion, seven hundred three million, three hundred ninety-eight thousand, four hundred".