212112213003012 has 192 divisors, whose sum is σ = 575501245562880. Its totient is φ = 59548225766400.

The previous prime is 212112213002929. The next prime is 212112213003013. The reversal of 212112213003012 is 210300312211212.

It is a super-2 number, since 2×212112213003012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212112213003012.

It is not an unprimeable number, because it can be changed into a prime (212112213003013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34118094528 + ... + 34118100744.

It is an arithmetic number, because the mean of its divisors is an integer number (2997402320640).

Almost surely, 2^{212112213003012} 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 212112213003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287750622781440).

212112213003012 is an abundant number, since it is smaller than the sum of its proper divisors (363389032559868).

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

212112213003012 is a wasteful number, since it uses less digits than its factorization.

212112213003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212112213003012 its reverse (210300312211212), we get a palindrome (422412525214224).

The spelling of 212112213003012 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred thirteen million, three thousand, twelve".