10233330232000 has 448 divisors, whose sum is σ = 27745637736960. Its totient is φ = 3725471232000.

The previous prime is 10233330231961. The next prime is 10233330232123. The reversal of 10233330232000 is 23203333201.

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 63 ways as a sum of consecutive naturals, for example, 398683167 + ... + 398708833.

Almost surely, 2^{10233330232000} is an apocalyptic number.

10233330232000 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 10233330232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872818868480).

10233330232000 is an abundant number, since it is smaller than the sum of its proper divisors (17512307504960).

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

10233330232000 is a wasteful number, since it uses less digits than its factorization.

10233330232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25817 (or 25797 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 10233330232000 its reverse (23203333201), we get a palindrome (10256533565201).

The spelling of 10233330232000 in words is "ten trillion, two hundred thirty-three billion, three hundred thirty million, two hundred thirty-two thousand".