1012123123305 has 48 divisors (see below), whose sum is σ = 1883890923264. Its totient is φ = 462659662080.

The previous prime is 1012123123261. The next prime is 1012123123337. The reversal of 1012123123305 is 5033213212101.

It is a happy number.

It is not a de Polignac number, because 1012123123305 - 2⁹ = 1012123122793 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23603685 + ... + 23646525.

It is an arithmetic number, because the mean of its divisors is an integer number (39247727568).

Almost surely, 2^{1012123123305} is an apocalyptic number.

1012123123305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012123123305 is a deficient number, since it is larger than the sum of its proper divisors (871767799959).

1012123123305 is a wasteful number, since it uses less digits than its factorization.

1012123123305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75006 (or 74999 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1012123123305 its reverse (5033213212101), we get a palindrome (6045336335406).

The spelling of 1012123123305 in words is "one trillion, twelve billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred five".