14121200400 has 60 divisors (see below), whose sum is σ = 45234915792. Its totient is φ = 3765653120.

The previous prime is 14121200381. The next prime is 14121200449. The reversal of 14121200400 is 400212141.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14121200400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5882634 + ... + 5885033.

Almost surely, 2^14121200400 is an apocalyptic number.

14121200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14121200400 is an abundant number, since it is smaller than the sum of its proper divisors (31113715392).

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

14121200400 is a wasteful number, since it uses less digits than its factorization.

14121200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767688 (or 11767677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14121200400 its reverse (400212141), we get a palindrome (14521412541).

The spelling of 14121200400 in words is "fourteen billion, one hundred twenty-one million, two hundred thousand, four hundred".