12415511002300 has 144 divisors (see below), whose sum is σ = 31020687673920. Its totient is φ = 4224929955840.

The previous prime is 12415511002261. The next prime is 12415511002337. The reversal of 12415511002300 is 320011551421.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1000518496 + ... + 1000530904.

It is an arithmetic number, because the mean of its divisors is an integer number (215421442180).

Almost surely, 2^{12415511002300} is an apocalyptic number.

12415511002300 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 12415511002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510343836960).

12415511002300 is an abundant number, since it is smaller than the sum of its proper divisors (18605176671620).

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

12415511002300 is a wasteful number, since it uses less digits than its factorization.

12415511002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23000 (or 22993 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 12415511002300 its reverse (320011551421), we get a palindrome (12735522553721).

The spelling of 12415511002300 in words is "twelve trillion, four hundred fifteen billion, five hundred eleven million, two thousand, three hundred".