21233110320 has 120 divisors (see below), whose sum is σ = 71348777136. Its totient is φ = 5658914304.

The previous prime is 21233110289. The next prime is 21233110321. The reversal of 21233110320 is 2301133212.

21233110320 is a `hidden beast` number, since 2 + 1 + 2 + 331 + 10 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21233110320² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21233110293 and 21233110302.

It is not an unprimeable number, because it can be changed into a prime (21233110321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1413087 + ... + 1428033.

Almost surely, 2^21233110320 is an apocalyptic number.

21233110320 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 21233110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35674388568).

21233110320 is an abundant number, since it is smaller than the sum of its proper divisors (50115666816).

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

21233110320 is a wasteful number, since it uses less digits than its factorization.

21233110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939 (or 16930 counting only the distinct ones).

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

Adding to 21233110320 its reverse (2301133212), we get a palindrome (23534243532).

The spelling of 21233110320 in words is "twenty-one billion, two hundred thirty-three million, one hundred ten thousand, three hundred twenty".