14121122400 has 432 divisors, whose sum is σ = 62084026368. Its totient is φ = 2934144000.

The previous prime is 14121122399. The next prime is 14121122419. The reversal of 14121122400 is 422112141.

14121122400 is a `hidden beast` number, since 1 + 412 + 1 + 12 + 240 + 0 = 666.

14121122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541665 + ... + 567135.

It is an arithmetic number, because the mean of its divisors is an integer number (143713024).

Almost surely, 2^14121122400 is an apocalyptic number.

14121122400 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 14121122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31042013184).

14121122400 is an abundant number, since it is smaller than the sum of its proper divisors (47962903968).

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

14121122400 is a wasteful number, since it uses less digits than its factorization.

14121122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25515 (or 25499 counting only the distinct ones).

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

Adding to 14121122400 its reverse (422112141), we get a palindrome (14543234541).

The spelling of 14121122400 in words is "fourteen billion, one hundred twenty-one million, one hundred twenty-two thousand, four hundred".