12141625760 has 192 divisors, whose sum is σ = 33282990720. Its totient is φ = 4136632320.

The previous prime is 12141625751. The next prime is 12141625789. The reversal of 12141625760 is 6752614121.

It is a self number, because there is not a number n which added to its sum of digits gives 12141625760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7688651 + ... + 7690229.

It is an arithmetic number, because the mean of its divisors is an integer number (173348910).

Almost surely, 2^12141625760 is an apocalyptic number.

12141625760 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 12141625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641495360).

12141625760 is an abundant number, since it is smaller than the sum of its proper divisors (21141364960).

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

12141625760 is a wasteful number, since it uses less digits than its factorization.

12141625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 12141625760 in words is "twelve billion, one hundred forty-one million, six hundred twenty-five thousand, seven hundred sixty".