11222116900 has 36 divisors (see below), whose sum is σ = 24359420932. Its totient is φ = 4487477760.

The previous prime is 11222116883. The next prime is 11222116903. The reversal of 11222116900 is 961122211.

It is a happy number.

11222116900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3311081764 + 7911035136 = 57542^2 + 88944^2 .

It is a super-2 number, since 2×11222116900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11222116903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 352024 + ... + 382576.

Almost surely, 2^11222116900 is an apocalyptic number.

11222116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222116900 is an abundant number, since it is smaller than the sum of its proper divisors (13137304032).

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

11222116900 is a wasteful number, since it uses less digits than its factorization.

11222116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34240 (or 34233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 11222116900 in words is "eleven billion, two hundred twenty-two million, one hundred sixteen thousand, nine hundred".