122311221302224 has 20 divisors (see below), whose sum is σ = 236978539135780. Its totient is φ = 61155469267200.

The previous prime is 122311221302197. The next prime is 122311221302233. The reversal of 122311221302224 is 422203122113221.

It can be written as a sum of positive squares in 2 ways, for example, as 13895896398400 + 108415324903824 = 3727720^2 + 10412268^2 .

It is a super-3 number, since 3×122311221302224³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122311221302192 and 122311221302201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1515627 + ... + 15713674.

It is an arithmetic number, because the mean of its divisors is an integer number (11848926956789).

Almost surely, 2^{122311221302224} is an apocalyptic number.

It is an amenable number.

122311221302224 is a deficient number, since it is larger than the sum of its proper divisors (114667317833556).

122311221302224 is a wasteful number, since it uses less digits than its factorization.

122311221302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17672998 (or 17672992 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 122311221302224 its reverse (422203122113221), we get a palindrome (544514343415445).

The spelling of 122311221302224 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred twenty-one million, three hundred two thousand, two hundred twenty-four".