23211033120 has 216 divisors, whose sum is σ = 87063608268. Its totient is φ = 5626874880.

The previous prime is 23211033059. The next prime is 23211033121. The reversal of 23211033120 is 2133011232.

23211033120 is a `hidden beast` number, since 2 + 321 + 10 + 331 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22130727696 + 1080305424 = 148764^2 + 32868^2 .

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 = 23211033093 and 23211033102.

It is not an unprimeable number, because it can be changed into a prime (23211033121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107634 + ... + 240846.

Almost surely, 2^23211033120 is an apocalyptic number.

23211033120 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 23211033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43531804134).

23211033120 is an abundant number, since it is smaller than the sum of its proper divisors (63852575148).

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

23211033120 is a wasteful number, since it uses less digits than its factorization.

23211033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133256 (or 133234 counting only the distinct ones).

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

Adding to 23211033120 its reverse (2133011232), we get a palindrome (25344044352).

The spelling of 23211033120 in words is "twenty-three billion, two hundred eleven million, thirty-three thousand, one hundred twenty".