12140114400 has 432 divisors, whose sum is σ = 44379972000. Its totient is φ = 3120353280.

The previous prime is 12140114369. The next prime is 12140114423. The reversal of 12140114400 is 441104121.

12140114400 is a `hidden beast` number, since 1 + 214 + 0 + 11 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53013486 + ... + 53013714.

Almost surely, 2^12140114400 is an apocalyptic number.

12140114400 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 12140114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189986000).

12140114400 is an abundant number, since it is smaller than the sum of its proper divisors (32239857600).

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

12140114400 is a wasteful number, since it uses less digits than its factorization.

12140114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12140114400 its reverse (441104121), we get a palindrome (12581218521).

The spelling of 12140114400 in words is "twelve billion, one hundred forty million, one hundred fourteen thousand, four hundred".