122223310133121 has 6 divisors (see below), whose sum is σ = 176544781303410. Its totient is φ = 81482206755408.

The previous prime is 122223310133059. The next prime is 122223310133131. The reversal of 122223310133121 is 121331013322221.

122223310133121 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 331 + 0 + 13 + 312 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107232010273521 + 14991299859600 = 10355289^2 + 3871860^2 .

It is not a de Polignac number, because 122223310133121 - 2¹⁹ = 122223309608833 is a prime.

It is a super-3 number, since 3×122223310133121³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122223310133131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6790183896276 + ... + 6790183896293.

It is an arithmetic number, because the mean of its divisors is an integer number (29424130217235).

Almost surely, 2^{122223310133121} is an apocalyptic number.

It is an amenable number.

122223310133121 is a deficient number, since it is larger than the sum of its proper divisors (54321471170289).

122223310133121 is a wasteful number, since it uses less digits than its factorization.

122223310133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580367792575 (or 13580367792572 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122223310133121 its reverse (121331013322221), we get a palindrome (243554323455342).

The spelling of 122223310133121 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty-one".