14213132311200 has 144 divisors (see below), whose sum is σ = 48275213063616. Its totient is φ = 3625378662400.

The previous prime is 14213132311171. The next prime is 14213132311253. The reversal of 14213132311200 is 211323131241.

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

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, 128686941 + ... + 128797340.

It is an arithmetic number, because the mean of its divisors is an integer number (335244535164).

Almost surely, 2^{14213132311200} is an apocalyptic number.

14213132311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213132311200 is an abundant number, since it is smaller than the sum of its proper divisors (34062080752416).

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

14213132311200 is a wasteful number, since it uses less digits than its factorization.

14213132311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257484327 (or 257484314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 14213132311200 its reverse (211323131241), we get a palindrome (14424455442441).

The spelling of 14213132311200 in words is "fourteen trillion, two hundred thirteen billion, one hundred thirty-two million, three hundred eleven thousand, two hundred".