11122211221200 has 90 divisors (see below), whose sum is σ = 38597162453174. Its totient is φ = 2965922991360.

The previous prime is 11122211221193. The next prime is 11122211221267. The reversal of 11122211221200 is 212211222111.

11122211221200 is a `hidden beast` number, since 1 + 11 + 22 + 211 + 221 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2358669353616 + 8763541867584 = 1535796^2 + 2960328^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1544747959 + ... + 1544755158.

Almost surely, 2^{11122211221200} is an apocalyptic number.

11122211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122211221200 is an abundant number, since it is smaller than the sum of its proper divisors (27474951231974).

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

11122211221200 is a wasteful number, since it uses less digits than its factorization.

11122211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089503141 (or 3089503127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122211221200 its reverse (212211222111), we get a palindrome (11334422443311).

The spelling of 11122211221200 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".