212322120 has 64 divisors (see below), whose sum is σ = 647784000. Its totient is φ = 55657728.

The previous prime is 212322113. The next prime is 212322127. The reversal of 212322120 is 21223212.

It is a happy number.

212322120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212322113) and next prime (212322127).

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 212322120.

It is not an unprimeable number, because it can be changed into a prime (212322127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7915 + ... + 22074.

It is an arithmetic number, because the mean of its divisors is an integer number (10121625).

Almost surely, 2^212322120 is an apocalyptic number.

212322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212322120 is an abundant number, since it is smaller than the sum of its proper divisors (435461880).

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

212322120 is a wasteful number, since it uses less digits than its factorization.

212322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30062 (or 30058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212322120 is about 14571.2772261048. The cubic root of 212322120 is about 596.5750421955.

Adding to 212322120 its reverse (21223212), we get a palindrome (233545332).

The spelling of 212322120 in words is "two hundred twelve million, three hundred twenty-two thousand, one hundred twenty".