12442513500 has 144 divisors (see below), whose sum is σ = 39613654080. Its totient is φ = 3287433600.

The previous prime is 12442513487. The next prime is 12442513541. The reversal of 12442513500 is 531524421.

12442513500 is a `hidden beast` number, since 124 + 4 + 25 + 13 + 500 = 666.

It is a super-2 number, since 2×12442513500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477817 + ... + 503183.

It is an arithmetic number, because the mean of its divisors is an integer number (275094820).

Almost surely, 2^12442513500 is an apocalyptic number.

12442513500 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 12442513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806827040).

12442513500 is an abundant number, since it is smaller than the sum of its proper divisors (27171140580).

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

12442513500 is a wasteful number, since it uses less digits than its factorization.

12442513500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25501 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12442513500 in words is "twelve billion, four hundred forty-two million, five hundred thirteen thousand, five hundred".