123310317312 has 972 divisors, whose sum is σ = 468975924144. Its totient is φ = 30996725760.

The previous prime is 123310317307. The next prime is 123310317329. The reversal of 123310317312 is 213713013321.

It is a happy number.

123310317312 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 0 + 317 + 312 = 666.

It is a super-2 number, since 2×123310317312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 438826612 + ... + 438826892.

Almost surely, 2^123310317312 is an apocalyptic number.

123310317312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123310317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234487962072).

123310317312 is an abundant number, since it is smaller than the sum of its proper divisors (345665606832).

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

123310317312 is a wasteful number, since it uses less digits than its factorization.

123310317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 123310317312 in words is "one hundred twenty-three billion, three hundred ten million, three hundred seventeen thousand, three hundred twelve".