212252820 has 96 divisors (see below), whose sum is σ = 677714688. Its totient is φ = 49170432.

The previous prime is 212252791. The next prime is 212252849. The reversal of 212252820 is 28252212.

It is an interprime number because it is at equal distance from previous prime (212252791) and next prime (212252849).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5257 + ... + 21263.

It is an arithmetic number, because the mean of its divisors is an integer number (7059528).

Almost surely, 2^212252820 is an apocalyptic number.

212252820 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 212252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338857344).

212252820 is an abundant number, since it is smaller than the sum of its proper divisors (465461868).

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

212252820 is a wasteful number, since it uses less digits than its factorization.

212252820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 212252820 is about 14568.8990661615. The cubic root of 212252820 is about 596.5101295851.

The spelling of 212252820 in words is "two hundred twelve million, two hundred fifty-two thousand, eight hundred twenty".