1122332113200 has 360 divisors, whose sum is σ = 3768540204240. Its totient is φ = 285497344000.

The previous prime is 1122332113193. The next prime is 1122332113213. The reversal of 1122332113200 is 23112332211.

It is a super-2 number, since 2×1122332113200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254552596 + ... + 254557004.

It is an arithmetic number, because the mean of its divisors is an integer number (10468167234).

Almost surely, 2^{1122332113200} is an apocalyptic number.

1122332113200 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 1122332113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884270102120).

1122332113200 is an abundant number, since it is smaller than the sum of its proper divisors (2646208091040).

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

1122332113200 is a wasteful number, since it uses less digits than its factorization.

1122332113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1122332113200 its reverse (23112332211), we get a palindrome (1145444445411).

The spelling of 1122332113200 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred".