123001312 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 50334720.

The previous prime is 123001301. The next prime is 123001313. The reversal of 123001312 is 213100321.

It is a junction number, because it is equal to n+sod(n) for n = 123001292 and 123001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541743 + ... + 541969.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^123001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

123001312 is an abundant number, since it is smaller than the sum of its proper divisors (166576928).

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

123001312 is a wasteful number, since it uses less digits than its factorization.

123001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123001312 is about 11090.5956557797. The cubic root of 123001312 is about 497.3207515658.

Adding to 123001312 its reverse (213100321), we get a palindrome (336101633).

Subtracting 123001312 from its reverse (213100321), we obtain a palindrome (90099009).

The spelling of 123001312 in words is "one hundred twenty-three million, one thousand, three hundred twelve".