123222121133 has 8 divisors (see below), whose sum is σ = 123386116152. Its totient is φ = 123058181376.

The previous prime is 123222121097. The next prime is 123222121177. The reversal of 123222121133 is 331121222321.

It can be written as a sum of positive squares in 4 ways, for example, as 100021652644 + 23200468489 = 316262^2 + 152317^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123222121133 - 2¹⁸ = 123221858989 is a prime.

It is a super-2 number, since 2×123222121133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123222121099 and 123222121108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123222121193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6284441 + ... + 6304017.

It is an arithmetic number, because the mean of its divisors is an integer number (15423264519).

Almost surely, 2^123222121133 is an apocalyptic number.

It is an amenable number.

123222121133 is a deficient number, since it is larger than the sum of its proper divisors (163995019).

123222121133 is an equidigital number, since it uses as much as digits as its factorization.

123222121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27631.

The product of its digits is 864, while the sum is 23.

Adding to 123222121133 its reverse (331121222321), we get a palindrome (454343343454).

The spelling of 123222121133 in words is "one hundred twenty-three billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-three".