21123300330000 has 900 divisors, whose sum is σ = 81314640907500. Its totient is φ = 5113405440000.

The previous prime is 21123300329981. The next prime is 21123300330001. The reversal of 21123300330000 is 3300332112.

21123300330000 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 330 + 0 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 20067568739856 + 1055731590144 = 4479684^2 + 1027488^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21123300330001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13601609224 + ... + 13601610776.

Almost surely, 2^{21123300330000} is an apocalyptic number.

21123300330000 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 21123300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40657320453750).

21123300330000 is an abundant number, since it is smaller than the sum of its proper divisors (60191340577500).

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

21123300330000 is a wasteful number, since it uses less digits than its factorization.

21123300330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21123300330000 its reverse (3300332112), we get a palindrome (21126600662112).

The spelling of 21123300330000 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred million, three hundred thirty thousand".