212329320 has 128 divisors (see below), whose sum is σ = 770860800. Its totient is φ = 45674496.

The previous prime is 212329319. The next prime is 212329357. The reversal of 212329320 is 23923212.

212329320 = 1321² + 1322² + ... + 1432².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6846 + ... + 21714.

It is an arithmetic number, because the mean of its divisors is an integer number (6022350).

Almost surely, 2^212329320 is an apocalyptic number.

212329320 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 212329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385430400).

212329320 is an abundant number, since it is smaller than the sum of its proper divisors (558531480).

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

212329320 is a wasteful number, since it uses less digits than its factorization.

212329320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 212329320 is about 14571.5242853999. The cubic root of 212329320 is about 596.5817855528.

The spelling of 212329320 in words is "two hundred twelve million, three hundred twenty-nine thousand, three hundred twenty".