212002272 has 120 divisors (see below), whose sum is σ = 631184400. Its totient is φ = 69797376.

The previous prime is 212002261. The next prime is 212002283. The reversal of 212002272 is 272200212.

It is a happy number.

212002272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212002261) and next prime (212002283).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 230229 + ... + 231147.

It is an arithmetic number, because the mean of its divisors is an integer number (5259870).

Almost surely, 2^212002272 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 212002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315592200).

212002272 is an abundant number, since it is smaller than the sum of its proper divisors (419182128).

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

212002272 is an equidigital number, since it uses as much as digits as its factorization.

212002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 212002272 is about 14560.2977991523. The cubic root of 212002272 is about 596.2753258496.

Adding to 212002272 its reverse (272200212), we get a palindrome (484202484).

The spelling of 212002272 in words is "two hundred twelve million, two thousand, two hundred seventy-two".