212322300 has 72 divisors (see below), whose sum is σ = 621793536. Its totient is φ = 55930560.

The previous prime is 212322289. The next prime is 212322373. The reversal of 212322300 is 3223212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20637 + ... + 29163.

Almost surely, 2^212322300 is an apocalyptic number.

212322300 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 212322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310896768).

212322300 is an abundant number, since it is smaller than the sum of its proper divisors (409471236).

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

212322300 is a wasteful number, since it uses less digits than its factorization.

212322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212322300 is about 14571.2834026382. The cubic root of 212322300 is about 596.5752107813.

Adding to 212322300 its reverse (3223212), we get a palindrome (215545512).

It can be divided in two parts, 21232 and 2300, that added together give a palindrome (23532).

The spelling of 212322300 in words is "two hundred twelve million, three hundred twenty-two thousand, three hundred".