212441412320 has 96 divisors (see below), whose sum is σ = 511603265376. Its totient is φ = 83348224000.

The previous prime is 212441412317. The next prime is 212441412331. The reversal of 212441412320 is 23214144212.

It is a self number, because there is not a number n which added to its sum of digits gives 212441412320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1667690 + ... + 1790550.

It is an arithmetic number, because the mean of its divisors is an integer number (5329200681).

Almost surely, 2^212441412320 is an apocalyptic number.

212441412320 is a gapful number since it is divisible by the number (20) 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 212441412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255801632688).

212441412320 is an abundant number, since it is smaller than the sum of its proper divisors (299161853056).

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

212441412320 is a wasteful number, since it uses less digits than its factorization.

212441412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123084 (or 123076 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212441412320 its reverse (23214144212), we get a palindrome (235655556532).

The spelling of 212441412320 in words is "two hundred twelve billion, four hundred forty-one million, four hundred twelve thousand, three hundred twenty".