12140694720 has 1260 divisors, whose sum is σ = 55918668960. Its totient is φ = 2490808320.

The previous prime is 12140694719. The next prime is 12140694737. The reversal of 12140694720 is 2749604121.

It is a happy number.

12140694720 is a `hidden beast` number, since 121 + 4 + 0 + 69 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 153679641 + ... + 153679719.

It is an arithmetic number, because the mean of its divisors is an integer number (44379896).

Almost surely, 2^12140694720 is an apocalyptic number.

12140694720 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 12140694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959334480).

12140694720 is an abundant number, since it is smaller than the sum of its proper divisors (43777974240).

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

12140694720 is a wasteful number, since it uses less digits than its factorization.

12140694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12140694720 in words is "twelve billion, one hundred forty million, six hundred ninety-four thousand, seven hundred twenty".