12233023033200 has 480 divisors, whose sum is σ = 40174779363840. Its totient is φ = 3180910694400.

The previous prime is 12233023033183. The next prime is 12233023033229. The reversal of 12233023033200 is 233032033221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4887343149 + ... + 4887345651.

It is an arithmetic number, because the mean of its divisors is an integer number (83697457008).

Almost surely, 2^{12233023033200} is an apocalyptic number.

12233023033200 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 12233023033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20087389681920).

12233023033200 is an abundant number, since it is smaller than the sum of its proper divisors (27941756330640).

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

12233023033200 is a wasteful number, since it uses less digits than its factorization.

12233023033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12233023033200 its reverse (233032033221), we get a palindrome (12466055066421).

The spelling of 12233023033200 in words is "twelve trillion, two hundred thirty-three billion, twenty-three million, thirty-three thousand, two hundred".