123112321301 has 24 divisors (see below), whose sum is σ = 132395799240. Its totient is φ = 114068996096.

The previous prime is 123112321289. The next prime is 123112321307. The reversal of 123112321301 is 103123211321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44636703076 + 78475618225 = 211274^2 + 280135^2 .

It is not a de Polignac number, because 123112321301 - 2³⁴ = 105932452117 is a prime.

It is a super-2 number, since 2×123112321301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112321307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188533091 + ... + 188533743.

It is an arithmetic number, because the mean of its divisors is an integer number (5516491635).

Almost surely, 2^123112321301 is an apocalyptic number.

It is an amenable number.

123112321301 is a deficient number, since it is larger than the sum of its proper divisors (9283477939).

123112321301 is an frugal number, since it uses more digits than its factorization.

123112321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123112321301 its reverse (103123211321), we get a palindrome (226235532622).

The spelling of 123112321301 in words is "one hundred twenty-three billion, one hundred twelve million, three hundred twenty-one thousand, three hundred one".