123120033312312 has 24 divisors (see below), whose sum is σ = 333450090221040. Its totient is φ = 41040011104080.

The previous prime is 123120033312293. The next prime is 123120033312361. The reversal of 123120033312312 is 213213330021321.

123120033312312 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 0 + 0 + 33 + 312 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 855000231264 + ... + 855000231407.

It is an arithmetic number, because the mean of its divisors is an integer number (13893753759210).

Almost surely, 2^{123120033312312} is an apocalyptic number.

123120033312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123120033312312 is an abundant number, since it is smaller than the sum of its proper divisors (210330056908728).

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

123120033312312 is a wasteful number, since it uses less digits than its factorization.

123120033312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710000462683 (or 1710000462676 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123120033312312 its reverse (213213330021321), we get a palindrome (336333363333633).

The spelling of 123120033312312 in words is "one hundred twenty-three trillion, one hundred twenty billion, thirty-three million, three hundred twelve thousand, three hundred twelve".