21133322232000 has 896 divisors, whose sum is σ = 79578888929280. Its totient is φ = 4895055360000.

The previous prime is 21133322231993. The next prime is 21133322232067. The reversal of 21133322232000 is 23222333112.

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

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 127 ways as a sum of consecutive naturals, for example, 646519657 + ... + 646552343.

Almost surely, 2^{21133322232000} is an apocalyptic number.

21133322232000 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 21133322232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789444464640).

21133322232000 is an abundant number, since it is smaller than the sum of its proper divisors (58445566697280).

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

21133322232000 is a wasteful number, since it uses less digits than its factorization.

21133322232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32838 (or 32818 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21133322232000 its reverse (23222333112), we get a palindrome (21156544565112).

The spelling of 21133322232000 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred thirty-two thousand".