212531000 has 96 divisors (see below), whose sum is σ = 546464880. Its totient is φ = 76728000.

The previous prime is 212530963. The next prime is 212531041. The reversal of 212531000 is 135212.

It is a happy number.

It is a super-2 number, since 2×212531000² = 90338851922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528931 + ... + 1529069.

Almost surely, 2^212531000 is an apocalyptic number.

212531000 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 212531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273232440).

212531000 is an abundant number, since it is smaller than the sum of its proper divisors (333933880).

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

212531000 is a wasteful number, since it uses less digits than its factorization.

212531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 212531000 is about 14578.4429895651. The cubic root of 212531000 is about 596.7706125754.

Adding to 212531000 its reverse (135212), we get a palindrome (212666212).

The spelling of 212531000 in words is "two hundred twelve million, five hundred thirty-one thousand".