14213143201200 has 120 divisors (see below), whose sum is σ = 45532464086976. Its totient is φ = 3789919392000.

The previous prime is 14213143201133. The next prime is 14213143201207. The reversal of 14213143201200 is 210234131241.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14213143201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18010915 + ... + 18783485.

Almost surely, 2^{14213143201200} is an apocalyptic number.

14213143201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213143201200 is an abundant number, since it is smaller than the sum of its proper divisors (31319320885776).

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

14213143201200 is a wasteful number, since it uses less digits than its factorization.

14213143201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787923 (or 787912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14213143201200 its reverse (210234131241), we get a palindrome (14423377332441).

The spelling of 14213143201200 in words is "fourteen trillion, two hundred thirteen billion, one hundred forty-three million, two hundred one thousand, two hundred".