14200114021200 has 90 divisors (see below), whose sum is σ = 49278340142174. Its totient is φ = 3786697071360.

The previous prime is 14200114021183. The next prime is 14200114021207. The reversal of 14200114021200 is 212041100241.

14200114021200 is a `hidden beast` number, since 1 + 420 + 0 + 1 + 1 + 40 + 2 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22810665024 + 14177303356176 = 151032^2 + 3765276^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200114021207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1972234459 + ... + 1972241658.

Almost surely, 2^{14200114021200} is an apocalyptic number.

14200114021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200114021200 is an abundant number, since it is smaller than the sum of its proper divisors (35078226120974).

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

14200114021200 is a wasteful number, since it uses less digits than its factorization.

14200114021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944476141 (or 3944476127 counting only the distinct ones).

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

Adding to 14200114021200 its reverse (212041100241), we get a palindrome (14412155121441).

The spelling of 14200114021200 in words is "fourteen trillion, two hundred billion, one hundred fourteen million, twenty-one thousand, two hundred".