123000133122 has 20 divisors (see below), whose sum is σ = 275611409766. Its totient is φ = 41000044320.

The previous prime is 123000133103. The next prime is 123000133181. The reversal of 123000133122 is 221331000321.

123000133122 is a `hidden beast` number, since 12 + 300 + 0 + 1 + 331 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121494770721 + 1505362401 = 348561^2 + 38799^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123000133095 and 123000133104.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 379629879 + ... + 379630202.

Almost surely, 2^123000133122 is an apocalyptic number.

123000133122 is an abundant number, since it is smaller than the sum of its proper divisors (152611276644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123000133122 is an equidigital number, since it uses as much as digits as its factorization.

123000133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759260095 (or 759260086 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123000133122 its reverse (221331000321), we get a palindrome (344331133443).

The spelling of 123000133122 in words is "one hundred twenty-three billion, one hundred thirty-three thousand, one hundred twenty-two".