212103301212 has 144 divisors (see below), whose sum is σ = 597914763264. Its totient is φ = 62845200000.

The previous prime is 212103301177. The next prime is 212103301229.

212103301212 is a `hidden beast` number, since 2 + 1 + 210 + 330 + 121 + 2 = 666.

212103301212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21417462 + ... + 21427362.

It is an arithmetic number, because the mean of its divisors is an integer number (4152185856).

Almost surely, 2^212103301212 is an apocalyptic number.

212103301212 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 212103301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298957381632).

212103301212 is an abundant number, since it is smaller than the sum of its proper divisors (385811462052).

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

212103301212 is a wasteful number, since it uses less digits than its factorization.

212103301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 212103 and 301212, that added together give a palindrome (513315).

The spelling of 212103301212 in words is "two hundred twelve billion, one hundred three million, three hundred one thousand, two hundred twelve".