212412144 has 160 divisors (see below), whose sum is σ = 680956416. Its totient is φ = 55664640.

The previous prime is 212412097. The next prime is 212412149. The reversal of 212412144 is 441214212.

212412144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 212412144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 233739 + ... + 234645.

Almost surely, 2^212412144 is an apocalyptic number.

212412144 is a gapful number since it is divisible by the number (24) 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 212412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340478208).

212412144 is an abundant number, since it is smaller than the sum of its proper divisors (468544272).

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

212412144 is a wasteful number, since it uses less digits than its factorization.

212412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

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

The square root of 212412144 is about 14574.3659896409. The cubic root of 212412144 is about 596.6593456790.

Adding to 212412144 its reverse (441214212), we get a palindrome (653626356).

The spelling of 212412144 in words is "two hundred twelve million, four hundred twelve thousand, one hundred forty-four".