2122442312306 has 96 divisors (see below), whose sum is σ = 3441408305328. Its totient is φ = 980420474880.

The previous prime is 2122442312227. The next prime is 2122442312317. The reversal of 2122442312306 is 6032132442212.

It can be written as a sum of positive squares in 8 ways, for example, as 1040757030625 + 1081685281681 = 1020175^2 + 1040041^2 .

It is a super-2 number, since 2×2122442312306² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2227116326 + ... + 2227117278.

Almost surely, 2^{2122442312306} is an apocalyptic number.

2122442312306 is a deficient number, since it is larger than the sum of its proper divisors (1318965993022).

2122442312306 is a wasteful number, since it uses less digits than its factorization.

2122442312306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 2122442312306 its reverse (6032132442212), we get a palindrome (8154574754518).

The spelling of 2122442312306 in words is "two trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred twelve thousand, three hundred six".