212131140 has 144 divisors (see below), whose sum is σ = 663292224. Its totient is φ = 50353920.

The previous prime is 212131133. The next prime is 212131187. The reversal of 212131140 is 41131212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 749439 + ... + 749721.

It is an arithmetic number, because the mean of its divisors is an integer number (4606196).

Almost surely, 2^212131140 is an apocalyptic number.

212131140 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 212131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331646112).

212131140 is an abundant number, since it is smaller than the sum of its proper divisors (451161084).

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

212131140 is a wasteful number, since it uses less digits than its factorization.

212131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 212131140 is about 14564.7224484368. The cubic root of 212131140 is about 596.3961189646.

Adding to 212131140 its reverse (41131212), we get a palindrome (253262352).

The spelling of 212131140 in words is "two hundred twelve million, one hundred thirty-one thousand, one hundred forty".