12233133200088 has 192 divisors, whose sum is σ = 34371101943360. Its totient is φ = 3927394003968.

The previous prime is 12233133200033. The next prime is 12233133200089. The reversal of 12233133200088 is 88000233133221.

12233133200088 is a `hidden beast` number, since 1 + 223 + 31 + 3 + 320 + 0 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233133200089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811369606 + ... + 811384682.

It is an arithmetic number, because the mean of its divisors is an integer number (179016155955).

Almost surely, 2^{12233133200088} is an apocalyptic number.

12233133200088 is a gapful number since it is divisible by the number (18) 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 12233133200088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185550971680).

12233133200088 is an abundant number, since it is smaller than the sum of its proper divisors (22137968743272).

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

12233133200088 is a wasteful number, since it uses less digits than its factorization.

12233133200088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12233133200088 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred thousand, eighty-eight".