212012234104224 has 96 divisors (see below), whose sum is σ = 561052919347200. Its totient is φ = 70096949379072.

The previous prime is 212012234104201. The next prime is 212012234104403. The reversal of 212012234104224 is 422401432210212.

212012234104224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212012234104191 and 212012234104200.

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, 47218032 + ... + 51512784.

It is an arithmetic number, because the mean of its divisors is an integer number (5844301243200).

Almost surely, 2^{212012234104224} is an apocalyptic number.

212012234104224 is a gapful number since it is divisible by the number (24) 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 212012234104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280526459673600).

212012234104224 is an abundant number, since it is smaller than the sum of its proper divisors (349040685242976).

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

212012234104224 is a wasteful number, since it uses less digits than its factorization.

212012234104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298942 (or 4298934 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 212012234104224 its reverse (422401432210212), we get a palindrome (634413666314436).

The spelling of 212012234104224 in words is "two hundred twelve trillion, twelve billion, two hundred thirty-four million, one hundred four thousand, two hundred twenty-four".