12415000000 has 224 divisors, whose sum is σ = 33337414656. Its totient is φ = 4560000000.

The previous prime is 12414999977. The next prime is 12415000049. The reversal of 12415000000 is 51421.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64999905 + ... + 65000095.

It is an arithmetic number, because the mean of its divisors is an integer number (148827744).

Almost surely, 2^12415000000 is an apocalyptic number.

12415000000 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 12415000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668707328).

12415000000 is an abundant number, since it is smaller than the sum of its proper divisors (20922414656).

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

12415000000 is an frugal number, since it uses more digits than its factorization.

12415000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 12415000000 its reverse (51421), we get a palindrome (12415051421).

The spelling of 12415000000 in words is "twelve billion, four hundred fifteen million", and thus it is an aban number.