1122230311200 has 360 divisors, whose sum is σ = 4133100191220. Its totient is φ = 296296704000.

The previous prime is 1122230311193. The next prime is 1122230311229. The reversal of 1122230311200 is 21130322211.

1122230311200 is a `hidden beast` number, since 1 + 122 + 2 + 30 + 311 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1015120731024 + 107109580176 = 1007532^2 + 327276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6459066 + ... + 6630534.

Almost surely, 2^{1122230311200} is an apocalyptic number.

1122230311200 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 1122230311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066550095610).

1122230311200 is an abundant number, since it is smaller than the sum of its proper divisors (3010869880020).

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

1122230311200 is a wasteful number, since it uses less digits than its factorization.

1122230311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171602 (or 171580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122230311200 its reverse (21130322211), we get a palindrome (1143360633411).

The spelling of 1122230311200 in words is "one trillion, one hundred twenty-two billion, two hundred thirty million, three hundred eleven thousand, two hundred".