12300014400 has 84 divisors (see below), whose sum is σ = 40354312992. Its totient is φ = 3280002560.

The previous prime is 12300014387. The next prime is 12300014407. The reversal of 12300014400 is 441000321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12300014400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300014407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276452 + ... + 1286051.

It is an arithmetic number, because the mean of its divisors is an integer number (480408488).

Almost surely, 2^12300014400 is an apocalyptic number.

12300014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300014400 is an abundant number, since it is smaller than the sum of its proper divisors (28054298592).

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

12300014400 is a wasteful number, since it uses less digits than its factorization.

12300014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562528 (or 2562513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12300014400 its reverse (441000321), we get a palindrome (12741014721).

The spelling of 12300014400 in words is "twelve billion, three hundred million, fourteen thousand, four hundred".