212002144 has 48 divisors (see below), whose sum is σ = 429710400. Its totient is φ = 102896640.

The previous prime is 212002129. The next prime is 212002181. The reversal of 212002144 is 441200212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 457657 + ... + 458119.

It is an arithmetic number, because the mean of its divisors is an integer number (8952300).

Almost surely, 2^212002144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214855200).

212002144 is an abundant number, since it is smaller than the sum of its proper divisors (217708256).

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

212002144 is a wasteful number, since it uses less digits than its factorization.

212002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

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

The square root of 212002144 is about 14560.2934036372. The cubic root of 212002144 is about 596.2752058458.

Adding to 212002144 its reverse (441200212), we get a palindrome (653202356).

The spelling of 212002144 in words is "two hundred twelve million, two thousand, one hundred forty-four".