12014394836400 has 720 divisors, whose sum is σ = 47357151135840. Its totient is φ = 2794936320000.

The previous prime is 12014394836369. The next prime is 12014394836453. The reversal of 12014394836400 is 463849341021.

12014394836400 is a `hidden beast` number, since 1 + 20 + 143 + 9 + 4 + 83 + 6 + 400 = 666.

12014394836400 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 (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98978946 + ... + 99100254.

It is an arithmetic number, because the mean of its divisors is an integer number (65773821022).

Almost surely, 2^{12014394836400} is an apocalyptic number.

12014394836400 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 12014394836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678575567920).

12014394836400 is an abundant number, since it is smaller than the sum of its proper divisors (35342756299440).

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

12014394836400 is a wasteful number, since it uses less digits than its factorization.

12014394836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121446 (or 121432 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12014394836400 in words is "twelve trillion, fourteen billion, three hundred ninety-four million, eight hundred thirty-six thousand, four hundred".