12055514400 has 432 divisors, whose sum is σ = 45417468096. Its totient is φ = 3001743360.

The previous prime is 12055514389. The next prime is 12055514441. The reversal of 12055514400 is 441555021.

12055514400 is a `hidden beast` number, since 1 + 205 + 5 + 51 + 4 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7119954 + ... + 7121646.

It is an arithmetic number, because the mean of its divisors is an integer number (105133028).

Almost surely, 2^12055514400 is an apocalyptic number.

12055514400 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 12055514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708734048).

12055514400 is an abundant number, since it is smaller than the sum of its proper divisors (33361953696).

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

12055514400 is a wasteful number, since it uses less digits than its factorization.

12055514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 12055514400 in words is "twelve billion, fifty-five million, five hundred fourteen thousand, four hundred".