12140800560 has 400 divisors, whose sum is σ = 48805968480. Its totient is φ = 2773854720.

The previous prime is 12140800547. The next prime is 12140800589. The reversal of 12140800560 is 6500804121.

12140800560 is a `hidden beast` number, since 1 + 21 + 4 + 0 + 80 + 0 + 560 = 666.

12140800560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5184990 + ... + 5187330.

Almost surely, 2^12140800560 is an apocalyptic number.

12140800560 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 12140800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24402984240).

12140800560 is an abundant number, since it is smaller than the sum of its proper divisors (36665167920).

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

12140800560 is an equidigital number, since it uses as much as digits as its factorization.

12140800560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12140800560 in words is "twelve billion, one hundred forty million, eight hundred thousand, five hundred sixty".