11202211220200 has 384 divisors, whose sum is σ = 35362674144000. Its totient is φ = 3186795110400.

The previous prime is 11202211220177. The next prime is 11202211220329. The reversal of 11202211220200 is 202211220211.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 17503446 + ... + 18132154.

It is an arithmetic number, because the mean of its divisors is an integer number (92090297250).

Almost surely, 2^{11202211220200} is an apocalyptic number.

11202211220200 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 11202211220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681337072000).

11202211220200 is an abundant number, since it is smaller than the sum of its proper divisors (24160462923800).

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

11202211220200 is a wasteful number, since it uses less digits than its factorization.

11202211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628845 (or 628836 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11202211220200 its reverse (202211220211), we get a palindrome (11404422440411).

It can be divided in two parts, 11202211 and 220200, that added together give a palindrome (11422411).

The spelling of 11202211220200 in words is "eleven trillion, two hundred two billion, two hundred eleven million, two hundred twenty thousand, two hundred".