212012016 has 80 divisors (see below), whose sum is σ = 570261120. Its totient is φ = 67818240.

The previous prime is 212011993. The next prime is 212012033. The reversal of 212012016 is 610210212.

It is a junction number, because it is equal to n+sod(n) for n = 212011986 and 212012004.

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 15 ways as a sum of consecutive naturals, for example, 120906 + ... + 122646.

It is an arithmetic number, because the mean of its divisors is an integer number (7128264).

Almost surely, 2^212012016 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 212012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285130560).

212012016 is an abundant number, since it is smaller than the sum of its proper divisors (358249104).

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

212012016 is a wasteful number, since it uses less digits than its factorization.

212012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 212012016 is about 14560.6324038484. The cubic root of 212012016 is about 596.2844609998.

Adding to 212012016 its reverse (610210212), we get a palindrome (822222228).

The spelling of 212012016 in words is "two hundred twelve million, twelve thousand, sixteen".