21303330032000 has 128 divisors (see below), whose sum is σ = 52970510174400. Its totient is φ = 8520510566400.

The previous prime is 21303330031967. The next prime is 21303330032069. The reversal of 21303330032000 is 23003330312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182069516 + ... + 182186484.

Almost surely, 2^{21303330032000} is an apocalyptic number.

21303330032000 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 21303330032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26485255087200).

21303330032000 is an abundant number, since it is smaller than the sum of its proper divisors (31667180142400).

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

21303330032000 is a wasteful number, since it uses less digits than its factorization.

21303330032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128381 (or 128359 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 21303330032000 its reverse (23003330312), we get a palindrome (21326333362312).

The spelling of 21303330032000 in words is "twenty-one trillion, three hundred three billion, three hundred thirty million, thirty-two thousand".