11202002111200 has 108 divisors (see below), whose sum is σ = 27872607710808. Its totient is φ = 4396256550400.

The previous prime is 11202002111171. The next prime is 11202002111213. The reversal of 11202002111200 is 211120020211.

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 17 ways as a sum of consecutive naturals, for example, 245236 + ... + 4739635.

It is an arithmetic number, because the mean of its divisors is an integer number (258079701026).

Almost surely, 2^{11202002111200} is an apocalyptic number.

11202002111200 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 11202002111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936303855404).

11202002111200 is an abundant number, since it is smaller than the sum of its proper divisors (16670605599608).

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

11202002111200 is an equidigital number, since it uses as much as digits as its factorization.

11202002111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984997 (or 4984931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11202002111200 its reverse (211120020211), we get a palindrome (11413122131411).

The spelling of 11202002111200 in words is "eleven trillion, two hundred two billion, two million, one hundred eleven thousand, two hundred".