11242211320200 has 192 divisors, whose sum is σ = 39835664640000. Its totient is φ = 2569253725440.

The previous prime is 11242211320169. The next prime is 11242211320283. The reversal of 11242211320200 is 202311224211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27597601 + ... + 28001999.

It is an arithmetic number, because the mean of its divisors is an integer number (207477420000).

Almost surely, 2^{11242211320200} is an apocalyptic number.

11242211320200 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 11242211320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917832320000).

11242211320200 is an abundant number, since it is smaller than the sum of its proper divisors (28593453319800).

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

11242211320200 is a wasteful number, since it uses less digits than its factorization.

11242211320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411044 (or 411035 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11242211320200 its reverse (202311224211), we get a palindrome (11444522544411).

The spelling of 11242211320200 in words is "eleven trillion, two hundred forty-two billion, two hundred eleven million, three hundred twenty thousand, two hundred".