111122133322200 has 2304 divisors, whose sum is σ = 484470701890560. Its totient is φ = 20484480614400.

The previous prime is 111122133322183. The next prime is 111122133322219. The reversal of 111122133322200 is 2223331221111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20288865862 + ... + 20288871338.

It is an arithmetic number, because the mean of its divisors is an integer number (210273742140).

Almost surely, 2^{111122133322200} is an apocalyptic number.

111122133322200 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 111122133322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242235350945280).

111122133322200 is an abundant number, since it is smaller than the sum of its proper divisors (373348568568360).

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

111122133322200 is a wasteful number, since it uses less digits than its factorization.

111122133322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 111122133322200 its reverse (2223331221111), we get a palindrome (113345464543311).

It can be divided in two parts, 11112 and 2133322200, that added together give a palindrome (2133333312).

The spelling of 111122133322200 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred".