14221121300400 has 240 divisors, whose sum is σ = 53742295574528. Its totient is φ = 3145685760000.

The previous prime is 14221121300389. The next prime is 14221121300423. The reversal of 14221121300400 is 400312112241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27045901 + ... + 27566700.

Almost surely, 2^{14221121300400} is an apocalyptic number.

14221121300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14221121300400 is an abundant number, since it is smaller than the sum of its proper divisors (39521174274128).

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

14221121300400 is a wasteful number, since it uses less digits than its factorization.

14221121300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54612660 (or 54612649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14221121300400 its reverse (400312112241), we get a palindrome (14621433412641).

The spelling of 14221121300400 in words is "fourteen trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred thousand, four hundred".