123000133311221 has 8 divisors (see below), whose sum is σ = 124451683522200. Its totient is φ = 121550128128000.

The previous prime is 123000133311179. The next prime is 123000133311229. The reversal of 123000133311221 is 122113331000321.

It can be written as a sum of positive squares in 4 ways, for example, as 33692057724196 + 89308075587025 = 5804486^2 + 9450295^2 .

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 123000133311221 - 2²⁶ = 123000066202357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000133311229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386096780 + ... + 386415221.

It is an arithmetic number, because the mean of its divisors is an integer number (15556460440275).

Almost surely, 2^{123000133311221} is an apocalyptic number.

It is an amenable number.

123000133311221 is a deficient number, since it is larger than the sum of its proper divisors (1451550210979).

123000133311221 is an equidigital number, since it uses as much as digits as its factorization.

123000133311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772513879.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 123000133311221 its reverse (122113331000321), we get a palindrome (245113464311542).

The spelling of 123000133311221 in words is "one hundred twenty-three trillion, one hundred thirty-three million, three hundred eleven thousand, two hundred twenty-one".