10233233022000 has 320 divisors, whose sum is σ = 33136216289280. Its totient is φ = 2716945920000.

The previous prime is 10233233021993. The next prime is 10233233022017. The reversal of 10233233022000 is 22033233201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3312796456 + ... + 3312799544.

It is an arithmetic number, because the mean of its divisors is an integer number (103550675904).

Almost surely, 2^{10233233022000} is an apocalyptic number.

10233233022000 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 10233233022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568108144640).

10233233022000 is an abundant number, since it is smaller than the sum of its proper divisors (22902983267280).

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

10233233022000 is a wasteful number, since it uses less digits than its factorization.

10233233022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10233233022000 its reverse (22033233201), we get a palindrome (10255266255201).

The spelling of 10233233022000 in words is "ten trillion, two hundred thirty-three billion, two hundred thirty-three million, twenty-two thousand".