212142040 has 96 divisors (see below), whose sum is σ = 535202640. Its totient is φ = 75595520.

The previous prime is 212141983. The next prime is 212142061. The reversal of 212142040 is 40241212.

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 23 ways as a sum of consecutive naturals, for example, 256107 + ... + 256933.

Almost surely, 2^212142040 is an apocalyptic number.

212142040 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 212142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267601320).

212142040 is an abundant number, since it is smaller than the sum of its proper divisors (323060600).

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

212142040 is a wasteful number, since it uses less digits than its factorization.

212142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212142040 is about 14565.0966354501. The cubic root of 212142040 is about 596.4063337250.

Adding to 212142040 its reverse (40241212), we get a palindrome (252383252).

The spelling of 212142040 in words is "two hundred twelve million, one hundred forty-two thousand, forty".