1123210132200 has 432 divisors, whose sum is σ = 4195033392420. Its totient is φ = 269007298560.

The previous prime is 1123210132183. The next prime is 1123210132223. The reversal of 1123210132200 is 22310123211.

1123210132200 is a `hidden beast` number, since 1 + 12 + 321 + 0 + 132 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 127281978756 + 995928153444 = 356766^2 + 997962^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11205504 + ... + 11305296.

Almost surely, 2^{1123210132200} is an apocalyptic number.

1123210132200 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 1123210132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097516696210).

1123210132200 is an abundant number, since it is smaller than the sum of its proper divisors (3071823260220).

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

1123210132200 is a wasteful number, since it uses less digits than its factorization.

1123210132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99878 (or 99853 counting only the distinct ones).

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

Adding to 1123210132200 its reverse (22310123211), we get a palindrome (1145520255411).

The spelling of 1123210132200 in words is "one trillion, one hundred twenty-three billion, two hundred ten million, one hundred thirty-two thousand, two hundred".