1102220211200 has 132 divisors (see below), whose sum is σ = 2733106950540. Its totient is φ = 440737136640.

The previous prime is 1102220211167. The next prime is 1102220211247. The reversal of 1102220211200 is 21120222011.

It can be written as a sum of positive squares in 6 ways, for example, as 32700212224 + 1069519998976 = 180832^2 + 1034176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102727436 + ... + 102738164.

Almost surely, 2^{1102220211200} is an apocalyptic number.

1102220211200 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 1102220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366553475270).

1102220211200 is an abundant number, since it is smaller than the sum of its proper divisors (1630886739340).

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

1102220211200 is a wasteful number, since it uses less digits than its factorization.

1102220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102220211200 its reverse (21120222011), we get a palindrome (1123340433211).

The spelling of 1102220211200 in words is "one trillion, one hundred two billion, two hundred twenty million, two hundred eleven thousand, two hundred".