13233400011200 has 84 divisors (see below), whose sum is σ = 32573843576592. Its totient is φ = 5291505408000.

The previous prime is 13233400011149. The next prime is 13233400011239. The reversal of 13233400011200 is 211000433231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3123725 + ... + 6018675.

Almost surely, 2^{13233400011200} is an apocalyptic number.

13233400011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233400011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286921788296).

13233400011200 is an abundant number, since it is smaller than the sum of its proper divisors (19340443565392).

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

13233400011200 is a wasteful number, since it uses less digits than its factorization.

13233400011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897830 (or 2897815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13233400011200 its reverse (211000433231), we get a palindrome (13444400444431).

The spelling of 13233400011200 in words is "thirteen trillion, two hundred thirty-three billion, four hundred million, eleven thousand, two hundred".