10233112000 has 112 divisors (see below), whose sum is σ = 25605504288. Its totient is φ = 4050739200.

The previous prime is 10233111947. The next prime is 10233112003. The reversal of 10233112000 is 21133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769407 + ... + 782593.

It is an arithmetic number, because the mean of its divisors is an integer number (228620574).

Almost surely, 2^10233112000 is an apocalyptic number.

10233112000 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 10233112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802752144).

10233112000 is an abundant number, since it is smaller than the sum of its proper divisors (15372392288).

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

10233112000 is an equidigital number, since it uses as much as digits as its factorization.

10233112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10233112000 its reverse (21133201), we get a palindrome (10254245201).

The spelling of 10233112000 in words is "ten billion, two hundred thirty-three million, one hundred twelve thousand".