23233122033000 has 1536 divisors, whose sum is σ = 83998088778240. Its totient is φ = 5337446400000.

The previous prime is 23233122032993. The next prime is 23233122033031. The reversal of 23233122033000 is 33022133232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142534490919 + ... + 142534491081.

It is an arithmetic number, because the mean of its divisors is an integer number (54686255715).

Almost surely, 2^{23233122033000} is an apocalyptic number.

23233122033000 is a gapful number since it is divisible by the number (20) 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 23233122033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41999044389120).

23233122033000 is an abundant number, since it is smaller than the sum of its proper divisors (60764966745240).

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

23233122033000 is a wasteful number, since it uses less digits than its factorization.

23233122033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

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

Adding to 23233122033000 its reverse (33022133232), we get a palindrome (23266144166232).

The spelling of 23233122033000 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred twenty-two million, thirty-three thousand".