11122122121200 has 90 divisors (see below), whose sum is σ = 38596853251424. Its totient is φ = 2965899231360.

The previous prime is 11122122121199. The next prime is 11122122121241. The reversal of 11122122121200 is 212122122111.

11122122121200 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 221 + 21 + 200 = 666.

11122122121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1544735584 + ... + 1544742783.

Almost surely, 2^{11122122121200} is an apocalyptic number.

11122122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122122121200 is an abundant number, since it is smaller than the sum of its proper divisors (27474731130224).

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

11122122121200 is a wasteful number, since it uses less digits than its factorization.

11122122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089478391 (or 3089478377 counting only the distinct ones).

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

Adding to 11122122121200 its reverse (212122122111), we get a palindrome (11334244243311).

The spelling of 11122122121200 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".