212012212013 has 48 divisors (see below), whose sum is σ = 265708087344. Its totient is φ = 168045373440.

The previous prime is 212012211997. The next prime is 212012212033. The reversal of 212012212013 is 310212210212.

It can be written as a sum of positive squares in 8 ways, for example, as 21058943689 + 190953268324 = 145117^2 + 436982^2 .

It is not a de Polignac number, because 212012212013 - 2⁴ = 212012211997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 212012211982 and 212012212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012212033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62853995 + ... + 62857367.

It is an arithmetic number, because the mean of its divisors is an integer number (5535585153).

Almost surely, 2^212012212013 is an apocalyptic number.

It is an amenable number.

212012212013 is a deficient number, since it is larger than the sum of its proper divisors (53695875331).

212012212013 is a wasteful number, since it uses less digits than its factorization.

212012212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212012212013 its reverse (310212210212), we get a palindrome (522224422225).

The spelling of 212012212013 in words is "two hundred twelve billion, twelve million, two hundred twelve thousand, thirteen".