21233016000 has 1120 divisors, whose sum is σ = 93281869824. Its totient is φ = 4665600000.

The previous prime is 21233015977. The next prime is 21233016001. The reversal of 21233016000 is 61033212.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (21233016001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140615925 + ... + 140616075.

Almost surely, 2^21233016000 is an apocalyptic number.

21233016000 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 21233016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640934912).

21233016000 is an abundant number, since it is smaller than the sum of its proper divisors (72048853824).

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

21233016000 is a wasteful number, since it uses less digits than its factorization.

21233016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21233016000 its reverse (61033212), we get a palindrome (21294049212).

The spelling of 21233016000 in words is "twenty-one billion, two hundred thirty-three million, sixteen thousand".