12883125024 has 288 divisors, whose sum is σ = 45801624960. Its totient is φ = 3337113600.

The previous prime is 12883125023. The next prime is 12883125029. The reversal of 12883125024 is 42052138821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12883125024.

It is not an unprimeable number, because it can be changed into a prime (12883125023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12617634 + ... + 12618654.

It is an arithmetic number, because the mean of its divisors is an integer number (159033420).

Almost surely, 2^12883125024 is an apocalyptic number.

12883125024 is a gapful number since it is divisible by the number (14) 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 12883125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

12883125024 is an abundant number, since it is smaller than the sum of its proper divisors (32918499936).

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

12883125024 is a wasteful number, since it uses less digits than its factorization.

12883125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12883125024 in words is "twelve billion, eight hundred eighty-three million, one hundred twenty-five thousand, twenty-four".