123142001329 has 8 divisors (see below), whose sum is σ = 130392161640. Its totient is φ = 115892564736.

The previous prime is 123142001309. The next prime is 123142001341. The reversal of 123142001329 is 923100241321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75814869025 + 47327132304 = 275345^2 + 217548^2 .

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 123142001329 - 2¹⁵ = 123141968561 is a prime.

It is a super-2 number, since 2×123142001329² (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 = 123142001297 and 123142001306.

It is not an unprimeable number, because it can be changed into a prime (123142001309) 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, 191287 + ... + 531859.

It is an arithmetic number, because the mean of its divisors is an integer number (16299020205).

Almost surely, 2^123142001329 is an apocalyptic number.

It is an amenable number.

123142001329 is a deficient number, since it is larger than the sum of its proper divisors (7250160311).

123142001329 is a wasteful number, since it uses less digits than its factorization.

123142001329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361859.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 123142001329 in words is "one hundred twenty-three billion, one hundred forty-two million, one thousand, three hundred twenty-nine".