12000213013200 has 120 divisors (see below), whose sum is σ = 38441453893056. Its totient is φ = 3199992576000.

The previous prime is 12000213013147. The next prime is 12000213013231. The reversal of 12000213013200 is 231031200021.

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

It is a super-2 number, since 2×12000213013200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12000213013200.

It is a congruent number.

It is an unprimeable number.

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, 110250805 + ... + 110359595.

Almost surely, 2^{12000213013200} is an apocalyptic number.

12000213013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000213013200 is an abundant number, since it is smaller than the sum of its proper divisors (26441240879856).

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

12000213013200 is a wasteful number, since it uses less digits than its factorization.

12000213013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200733 (or 200722 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000213013200 its reverse (231031200021), we get a palindrome (12231244213221).

The spelling of 12000213013200 in words is "twelve trillion, two hundred thirteen million, thirteen thousand, two hundred".