212125590 has 96 divisors (see below), whose sum is σ = 567272160. Its totient is φ = 54978048.

The previous prime is 212125583. The next prime is 212125597. The reversal of 212125590 is 95521212.

212125590 is digitally balanced in base 2, 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 (212125583) and next prime (212125597).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212125597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545116 + ... + 545504.

It is an arithmetic number, because the mean of its divisors is an integer number (5909085).

Almost surely, 2^212125590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212125590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283636080).

212125590 is an abundant number, since it is smaller than the sum of its proper divisors (355146570).

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

212125590 is a wasteful number, since it uses less digits than its factorization.

212125590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 212125590 is about 14564.5319183282. The cubic root of 212125590 is about 596.3909177365.

The spelling of 212125590 in words is "two hundred twelve million, one hundred twenty-five thousand, five hundred ninety".