12258024871752 has 160 divisors (see below), whose sum is σ = 37459210298400. Its totient is φ = 3714142982400.

The previous prime is 12258024871747. The next prime is 12258024871753. The reversal of 12258024871752 is 25717842085221.

It is a happy number.

12258024871752 is a `hidden beast` number, since 1 + 2 + 2 + 580 + 2 + 4 + 8 + 7 + 1 + 7 + 52 = 666.

12258024871752 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 not an unprimeable number, because it can be changed into a prime (12258024871753) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67903852 + ... + 68084132.

It is an arithmetic number, because the mean of its divisors is an integer number (234120064365).

Almost surely, 2^{12258024871752} is an apocalyptic number.

12258024871752 is a gapful number since it is divisible by the number (12) 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 12258024871752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729605149200).

12258024871752 is an abundant number, since it is smaller than the sum of its proper divisors (25201185426648).

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

12258024871752 is a wasteful number, since it uses less digits than its factorization.

12258024871752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189849 (or 189836 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 12258024871752 in words is "twelve trillion, two hundred fifty-eight billion, twenty-four million, eight hundred seventy-one thousand, seven hundred fifty-two".