212090500 has 48 divisors (see below), whose sum is σ = 468087984. Its totient is φ = 83942400.

The previous prime is 212090497. The next prime is 212090503. The reversal of 212090500 is 5090212.

212090500 is digitally balanced in base 3, because in such base 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 (212090497) and next prime (212090503).

It can be written as a sum of positive squares in 8 ways, for example, as 66357316 + 145733184 = 8146^2 + 12072^2 .

It is not an unprimeable number, because it can be changed into a prime (212090503) 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, 46314 + ... + 50686.

It is an arithmetic number, because the mean of its divisors is an integer number (9751833).

Almost surely, 2^212090500 is an apocalyptic number.

212090500 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 212090500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234043992).

212090500 is an abundant number, since it is smaller than the sum of its proper divisors (255997484).

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

212090500 is a wasteful number, since it uses less digits than its factorization.

212090500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 212090500 is about 14563.3272297233. The cubic root of 212090500 is about 596.3580307545.

The spelling of 212090500 in words is "two hundred twelve million, ninety thousand, five hundred".