12152250942720 has 2304 divisors, whose sum is σ = 50974285824000. Its totient is φ = 2453510062080.

The previous prime is 12152250942707. The next prime is 12152250942757. The reversal of 12152250942720 is 2724905225121.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 24750001675 + ... + 24750002165.

It is an arithmetic number, because the mean of its divisors is an integer number (22124256000).

Almost surely, 2^{12152250942720} is an apocalyptic number.

12152250942720 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 12152250942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25487142912000).

12152250942720 is an abundant number, since it is smaller than the sum of its proper divisors (38822034881280).

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

12152250942720 is a wasteful number, since it uses less digits than its factorization.

12152250942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 12152250942720 in words is "twelve trillion, one hundred fifty-two billion, two hundred fifty million, nine hundred forty-two thousand, seven hundred twenty".