14220123200400 has 120 divisors (see below), whose sum is σ = 49055778909760. Its totient is φ = 3500338014720.

The previous prime is 14220123200383. The next prime is 14220123200411. The reversal of 14220123200400 is 400232102241.

14220123200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455757580 + ... + 455788779.

Almost surely, 2^{14220123200400} is an apocalyptic number.

14220123200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14220123200400 is an abundant number, since it is smaller than the sum of its proper divisors (34835655709360).

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

14220123200400 is a wasteful number, since it uses less digits than its factorization.

14220123200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911546393 (or 911546382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14220123200400 its reverse (400232102241), we get a palindrome (14620355302641).

The spelling of 14220123200400 in words is "fourteen trillion, two hundred twenty billion, one hundred twenty-three million, two hundred thousand, four hundred".