20233243122000 has 960 divisors, whose sum is σ = 69231154636800. Its totient is φ = 5078052864000.

The previous prime is 20233243121999. The next prime is 20233243122133. The reversal of 20233243122000 is 22134233202.

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 191 ways as a sum of consecutive naturals, for example, 135793577926 + ... + 135793578074.

It is an arithmetic number, because the mean of its divisors is an integer number (72115786080).

Almost surely, 2^{20233243122000} is an apocalyptic number.

20233243122000 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 20233243122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34615577318400).

20233243122000 is an abundant number, since it is smaller than the sum of its proper divisors (48997911514800).

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

20233243122000 is a wasteful number, since it uses less digits than its factorization.

20233243122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20233243122000 its reverse (22134233202), we get a palindrome (20255377355202).

The spelling of 20233243122000 in words is "twenty trillion, two hundred thirty-three billion, two hundred forty-three million, one hundred twenty-two thousand".