12309368400 has 540 divisors, whose sum is σ = 51316846464. Its totient is φ = 2721600000.

The previous prime is 12309368399. The next prime is 12309368441. The reversal of 12309368400 is 486390321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5467275 + ... + 5469525.

Almost surely, 2^12309368400 is an apocalyptic number.

12309368400 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 12309368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658423232).

12309368400 is an abundant number, since it is smaller than the sum of its proper divisors (39007478064).

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

12309368400 is a wasteful number, since it uses less digits than its factorization.

12309368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12309368400 in words is "twelve billion, three hundred nine million, three hundred sixty-eight thousand, four hundred".