212142144 has 56 divisors (see below), whose sum is σ = 590844640. Its totient is φ = 66991104.

The previous prime is 212142137. The next prime is 212142211. The reversal of 212142144 is 441241212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212142144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25429 + ... + 32724.

Almost surely, 2^212142144 is an apocalyptic number.

212142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212142144 is an abundant number, since it is smaller than the sum of its proper divisors (378702496).

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

212142144 is a wasteful number, since it uses less digits than its factorization.

212142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58187 (or 58177 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 212142144 is about 14565.1002056285. The cubic root of 212142144 is about 596.4064311853.

Adding to 212142144 its reverse (441241212), we get a palindrome (653383356).

The spelling of 212142144 in words is "two hundred twelve million, one hundred forty-two thousand, one hundred forty-four".