212604406212 has 96 divisors (see below), whose sum is σ = 559278526464. Its totient is φ = 62275190400.

The previous prime is 212604406207. The next prime is 212604406213.

212604406212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 212604406212.

It is not an unprimeable number, because it can be changed into a prime (212604406213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559063 + ... + 3618305.

It is an arithmetic number, because the mean of its divisors is an integer number (5825817984).

Almost surely, 2^212604406212 is an apocalyptic number.

212604406212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212604406212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279639263232).

212604406212 is an abundant number, since it is smaller than the sum of its proper divisors (346674120252).

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

212604406212 is a wasteful number, since it uses less digits than its factorization.

212604406212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60169 (or 60167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 212604 and 406212, that added together give a palindrome (618816).

The spelling of 212604406212 in words is "two hundred twelve billion, six hundred four million, four hundred six thousand, two hundred twelve".