1122102333200 has 60 divisors (see below), whose sum is σ = 2854430334900. Its totient is φ = 422438522880.

The previous prime is 1122102333199. The next prime is 1122102333221. The reversal of 1122102333200 is 23332012211.

It can be written as a sum of positive squares in 6 ways, for example, as 3550729744 + 1118551603456 = 59588^2 + 1057616^2 .

It is a super-2 number, since 2×1122102333200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 82500725 + ... + 82514324.

It is an arithmetic number, because the mean of its divisors is an integer number (47573838915).

Almost surely, 2^{1122102333200} is an apocalyptic number.

1122102333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122102333200 is an abundant number, since it is smaller than the sum of its proper divisors (1732328001700).

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

1122102333200 is a wasteful number, since it uses less digits than its factorization.

1122102333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165015084 (or 165015073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1122102333200 its reverse (23332012211), we get a palindrome (1145434345411).

The spelling of 1122102333200 in words is "one trillion, one hundred twenty-two billion, one hundred two million, three hundred thirty-three thousand, two hundred".