12075424920 has 640 divisors, whose sum is σ = 46835712000. Its totient is φ = 2765767680.

The previous prime is 12075424909. The next prime is 12075424937. The reversal of 12075424920 is 2942457021.

12075424920 is a `hidden beast` number, since 1 + 20 + 7 + 542 + 4 + 92 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 63222025 + ... + 63222215.

It is an arithmetic number, because the mean of its divisors is an integer number (73180800).

Almost surely, 2^12075424920 is an apocalyptic number.

12075424920 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 12075424920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417856000).

12075424920 is an abundant number, since it is smaller than the sum of its proper divisors (34760287080).

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

12075424920 is a wasteful number, since it uses less digits than its factorization.

12075424920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12075424920 in words is "twelve billion, seventy-five million, four hundred twenty-four thousand, nine hundred twenty".