1111122221200 has 120 divisors (see below), whose sum is σ = 2688272962088. Its totient is φ = 441322352640.

The previous prime is 1111122221177. The next prime is 1111122221213. The reversal of 1111122221200 is 21222211111.

It can be written as a sum of positive squares in 12 ways, for example, as 729479977216 + 381642243984 = 854096^2 + 617772^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110083354 + ... + 110093446.

Almost surely, 2^{1111122221200} is an apocalyptic number.

1111122221200 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 1111122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344136481044).

1111122221200 is an abundant number, since it is smaller than the sum of its proper divisors (1577150740888).

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

1111122221200 is a wasteful number, since it uses less digits than its factorization.

1111122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1111122221200 its reverse (21222211111), we get a palindrome (1132344432311).

The spelling of 1111122221200 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".