23212100 has 36 divisors (see below), whose sum is σ = 50910804. Its totient is φ = 9185280.

The previous prime is 23212099. The next prime is 23212139. The reversal of 23212100 is 121232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5098564 + 18113536 = 2258^2 + 4256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8504 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (1414189).

Almost surely, 2^23212100 is an apocalyptic number.

23212100 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 23212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455402).

23212100 is an abundant number, since it is smaller than the sum of its proper divisors (27698704).

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

23212100 is a wasteful number, since it uses less digits than its factorization.

23212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 23212100 is about 4817.8937306670. The cubic root of 23212100 is about 285.2582044950.

Adding to 23212100 its reverse (121232), we get a palindrome (23333332).

The spelling of 23212100 in words is "twenty-three million, two hundred twelve thousand, one hundred".