12075309693720 has 1024 divisors, whose sum is σ = 50127488409600. Its totient is φ = 2517632409600.

The previous prime is 12075309693677. The next prime is 12075309693739. The reversal of 12075309693720 is 2739690357021.

12075309693720 is a `hidden beast` number, since 1 + 20 + 7 + 530 + 9 + 69 + 3 + 7 + 20 = 666.

12075309693720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7514193157 + ... + 7514194763.

It is an arithmetic number, because the mean of its divisors is an integer number (48952625400).

Almost surely, 2^{12075309693720} is an apocalyptic number.

12075309693720 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 12075309693720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25063744204800).

12075309693720 is an abundant number, since it is smaller than the sum of its proper divisors (38052178715880).

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

12075309693720 is a wasteful number, since it uses less digits than its factorization.

12075309693720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 12075309693720 in words is "twelve trillion, seventy-five billion, three hundred nine million, six hundred ninety-three thousand, seven hundred twenty".