11123000332200 has 288 divisors, whose sum is σ = 38376294411000. Its totient is φ = 2885067694080.

The previous prime is 11123000332127. The next prime is 11123000332259. The reversal of 11123000332200 is 223300032111.

11123000332200 is a `hidden beast` number, since 1 + 1 + 12 + 300 + 0 + 332 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1304817305796 + 9818183026404 = 1142286^2 + 3133398^2 .

It is a super-2 number, since 2×11123000332200² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 228613476 + ... + 228662124.

Almost surely, 2^{11123000332200} is an apocalyptic number.

11123000332200 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 11123000332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188147205500).

11123000332200 is an abundant number, since it is smaller than the sum of its proper divisors (27253294078800).

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

11123000332200 is a wasteful number, since it uses less digits than its factorization.

11123000332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52141 (or 52129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11123000332200 its reverse (223300032111), we get a palindrome (11346300364311).

The spelling of 11123000332200 in words is "eleven trillion, one hundred twenty-three billion, three hundred thirty-two thousand, two hundred".