123100000312 has 64 divisors (see below), whose sum is σ = 248071622400. Its totient is φ = 57158784000.

The previous prime is 123100000273. The next prime is 123100000337. The reversal of 123100000312 is 213000001321.

123100000312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123100000312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123100000292 and 123100000301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521014 + ... + 719482.

It is an arithmetic number, because the mean of its divisors is an integer number (3876119100).

Almost surely, 2^123100000312 is an apocalyptic number.

It is an amenable number.

123100000312 is an abundant number, since it is smaller than the sum of its proper divisors (124971622088).

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

123100000312 is a wasteful number, since it uses less digits than its factorization.

123100000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198608 (or 198604 counting only the distinct ones).

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

Adding to 123100000312 its reverse (213000001321), we get a palindrome (336100001633).

The spelling of 123100000312 in words is "one hundred twenty-three billion, one hundred million, three hundred twelve", and thus it is an aban number.