12258041560128 has 3584 divisors, whose sum is σ = 51197296640000. Its totient is φ = 2844328919040.

The previous prime is 12258041560111. The next prime is 12258041560129. The reversal of 12258041560128 is 82106514085221.

12258041560128 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 8 + 0 + 4 + 15 + 601 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (12258041560129) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 167918377500 + ... + 167918377572.

It is an arithmetic number, because the mean of its divisors is an integer number (14284960000).

Almost surely, 2^{12258041560128} is an apocalyptic number.

12258041560128 is a gapful number since it is divisible by the number (18) 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 12258041560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598648320000).

12258041560128 is an abundant number, since it is smaller than the sum of its proper divisors (38939255079872).

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

12258041560128 is a wasteful number, since it uses less digits than its factorization.

12258041560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12258041560128 in words is "twelve trillion, two hundred fifty-eight billion, forty-one million, five hundred sixty thousand, one hundred twenty-eight".