12415013300 has 144 divisors (see below), whose sum is σ = 30246064128. Its totient is φ = 4400179200.

The previous prime is 12415013291. The next prime is 12415013311. The reversal of 12415013300 is 331051421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 1946717 + ... + 1953083.

It is an arithmetic number, because the mean of its divisors is an integer number (210042112).

Almost surely, 2^12415013300 is an apocalyptic number.

12415013300 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 12415013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123032064).

12415013300 is an abundant number, since it is smaller than the sum of its proper divisors (17831050828).

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

12415013300 is a wasteful number, since it uses less digits than its factorization.

12415013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12415013300 its reverse (331051421), we get a palindrome (12746064721).

The spelling of 12415013300 in words is "twelve billion, four hundred fifteen million, thirteen thousand, three hundred".