21233121121000 has 256 divisors, whose sum is σ = 51826412851200. Its totient is φ = 8133156864000.

The previous prime is 21233121120997. The next prime is 21233121121019. The reversal of 21233121121000 is 12112133212.

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, 7896287656 + ... + 7896290344.

It is an arithmetic number, because the mean of its divisors is an integer number (202446925200).

Almost surely, 2^{21233121121000} is an apocalyptic number.

21233121121000 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 21233121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913206425600).

21233121121000 is an abundant number, since it is smaller than the sum of its proper divisors (30593291730200).

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

21233121121000 is a wasteful number, since it uses less digits than its factorization.

21233121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21233121121000 its reverse (12112133212), we get a palindrome (21245233254212).

The spelling of 21233121121000 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred twenty-one million, one hundred twenty-one thousand".