11233232323200 has 768 divisors, whose sum is σ = 42350952758400. Its totient is φ = 2905641123840.

The previous prime is 11233232323171. The next prime is 11233232323213. The reversal of 11233232323200 is 232323233211.

11233232323200 is a `hidden beast` number, since 1 + 1 + 2 + 332 + 3 + 2 + 3 + 2 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 1077316387 + ... + 1077326813.

Almost surely, 2^{11233232323200} is an apocalyptic number.

11233232323200 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 11233232323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175476379200).

11233232323200 is an abundant number, since it is smaller than the sum of its proper divisors (31117720435200).

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

11233232323200 is a wasteful number, since it uses less digits than its factorization.

11233232323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 11233232323200 its reverse (232323233211), we get a palindrome (11465555556411).

The spelling of 11233232323200 in words is "eleven trillion, two hundred thirty-three billion, two hundred thirty-two million, three hundred twenty-three thousand, two hundred".