212125320 has 384 divisors, whose sum is σ = 837008640. Its totient is φ = 45957120.

The previous prime is 212125313. The next prime is 212125379. The reversal of 212125320 is 23521212.

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 = 212125293 and 212125302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1548292 + ... + 1548428.

It is an arithmetic number, because the mean of its divisors is an integer number (2179710).

Almost surely, 2^212125320 is an apocalyptic number.

212125320 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 212125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418504320).

212125320 is an abundant number, since it is smaller than the sum of its proper divisors (624883320).

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

212125320 is a wasteful number, since it uses less digits than its factorization.

212125320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212125320 is about 14564.5226492323. The cubic root of 212125320 is about 596.3906647014.

Adding to 212125320 its reverse (23521212), we get a palindrome (235646532).

The spelling of 212125320 in words is "two hundred twelve million, one hundred twenty-five thousand, three hundred twenty".