2413322221212 has 144 divisors (see below), whose sum is σ = 7258168532160. Its totient is φ = 661503338496.

The previous prime is 2413322221207. The next prime is 2413322221253. The reversal of 2413322221212 is 2121222233142.

2413322221212 is a `hidden beast` number, since 2 + 413 + 3 + 2 + 2 + 221 + 21 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95668 + ... + 2199044.

It is an arithmetic number, because the mean of its divisors is an integer number (50403948140).

Almost surely, 2^{2413322221212} 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 2413322221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629084266080).

2413322221212 is an abundant number, since it is smaller than the sum of its proper divisors (4844846310948).

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

2413322221212 is a wasteful number, since it uses less digits than its factorization.

2413322221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103580 (or 2103575 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 2413322221212 its reverse (2121222233142), we get a palindrome (4534544454354).

The spelling of 2413322221212 in words is "two trillion, four hundred thirteen billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred twelve".