12323055398400 has 600 divisors, whose sum is σ = 45911160252144. Its totient is φ = 3264344064000.

The previous prime is 12323055398323. The next prime is 12323055398413. The reversal of 12323055398400 is 489355032321.

12323055398400 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 0 + 553 + 98 + 4 + 0 + 0 = 666.

12323055398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 156517444 + ... + 156596156.

Almost surely, 2^{12323055398400} is an apocalyptic number.

12323055398400 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 12323055398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22955580126072).

12323055398400 is an abundant number, since it is smaller than the sum of its proper divisors (33588104853744).

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

12323055398400 is an equidigital number, since it uses as much as digits as its factorization.

12323055398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78904 (or 78874 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12323055398400 in words is "twelve trillion, three hundred twenty-three billion, fifty-five million, three hundred ninety-eight thousand, four hundred".