212001012 has 72 divisors (see below), whose sum is σ = 566616960. Its totient is φ = 66648960.

The previous prime is 212001001. The next prime is 212001017. The reversal of 212001012 is 210100212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212000985 and 212001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001017) 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 23 ways as a sum of consecutive naturals, for example, 191653 + ... + 192755.

It is an arithmetic number, because the mean of its divisors is an integer number (7869680).

Almost surely, 2^212001012 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 212001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283308480).

212001012 is an abundant number, since it is smaller than the sum of its proper divisors (354615948).

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

212001012 is a wasteful number, since it uses less digits than its factorization.

212001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212001012 is about 14560.2545307422. The cubic root of 212001012 is about 596.2741445598.

Adding to 212001012 its reverse (210100212), we get a palindrome (422101224).

The spelling of 212001012 in words is "two hundred twelve million, one thousand, twelve".