212421124212 has 96 divisors (see below), whose sum is σ = 544722920448. Its totient is φ = 63892800000.

The previous prime is 212421124193. The next prime is 212421124213.

212421124212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212421124212² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212421124213) 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, 30512412 + ... + 30519372.

It is an arithmetic number, because the mean of its divisors is an integer number (5674197088).

Almost surely, 2^212421124212 is an apocalyptic number.

212421124212 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 212421124212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272361460224).

212421124212 is an abundant number, since it is smaller than the sum of its proper divisors (332301796236).

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

212421124212 is a wasteful number, since it uses less digits than its factorization.

212421124212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8659 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 212421 and 124212, that added together give a palindrome (336633).

The spelling of 212421124212 in words is "two hundred twelve billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred twelve".