11202000211200 has 216 divisors, whose sum is σ = 36976951323648. Its totient is φ = 2986552279040.

The previous prime is 11202000211159. The next prime is 11202000211219. The reversal of 11202000211200 is 211200020211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91964737 + ... + 92086463.

Almost surely, 2^{11202000211200} is an apocalyptic number.

11202000211200 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 11202000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488475661824).

11202000211200 is an abundant number, since it is smaller than the sum of its proper divisors (25774951112448).

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

11202000211200 is a wasteful number, since it uses less digits than its factorization.

11202000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126549 (or 126530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202000211200 its reverse (211200020211), we get a palindrome (11413200231411).

The spelling of 11202000211200 in words is "eleven trillion, two hundred two billion, two hundred eleven thousand, two hundred".