12014921318400 has 3888 divisors, whose sum is σ = 59799364908192. Its totient is φ = 2242274918400.

The previous prime is 12014921318371. The next prime is 12014921318431. The reversal of 12014921318400 is 481312941021.

12014921318400 is a `hidden beast` number, since 1 + 20 + 1 + 4 + 9 + 213 + 18 + 400 = 666.

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 215 ways as a sum of consecutive naturals, for example, 324727603182 + ... + 324727603218.

Almost surely, 2^{12014921318400} is an apocalyptic number.

12014921318400 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 12014921318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29899682454096).

12014921318400 is an abundant number, since it is smaller than the sum of its proper divisors (47784443589792).

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

12014921318400 is a wasteful number, since it uses less digits than its factorization.

12014921318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 12014921 and 318400, that added together give a palindrome (12333321).

The spelling of 12014921318400 in words is "twelve trillion, fourteen billion, nine hundred twenty-one million, three hundred eighteen thousand, four hundred".