12442815000 has 1440 divisors, whose sum is σ = 58335076800. Its totient is φ = 2449440000.

The previous prime is 12442814911. The next prime is 12442815017. The reversal of 12442815000 is 51824421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 654884991 + ... + 654885009.

It is an arithmetic number, because the mean of its divisors is an integer number (40510470).

Almost surely, 2^12442815000 is an apocalyptic number.

12442815000 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 12442815000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167538400).

12442815000 is an abundant number, since it is smaller than the sum of its proper divisors (45892261800).

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

12442815000 is a wasteful number, since it uses less digits than its factorization.

12442815000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 12442815000 in words is "twelve billion, four hundred forty-two million, eight hundred fifteen thousand".