1122102211200 has 192 divisors, whose sum is σ = 3696860394720. Its totient is φ = 299151462400.

The previous prime is 1122102211159. The next prime is 1122102211207. The reversal of 1122102211200 is 21122012211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1122102211200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122102211200.

It is not an unprimeable number, because it can be changed into a prime (1122102211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45021142 + ... + 45046058.

Almost surely, 2^{1122102211200} is an apocalyptic number.

1122102211200 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 1122102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848430197360).

1122102211200 is an abundant number, since it is smaller than the sum of its proper divisors (2574758183520).

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

1122102211200 is a wasteful number, since it uses less digits than its factorization.

1122102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29635 (or 29618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122102211200 its reverse (21122012211), we get a palindrome (1143224223411).

The spelling of 1122102211200 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, two hundred".