123112014313302 has 256 divisors, whose sum is σ = 322138417305600. Its totient is φ = 34119532800000.

The previous prime is 123112014313291. The next prime is 123112014313313. The reversal of 123112014313302 is 203313410211321.

123112014313302 is a `hidden beast` number, since 1 + 2 + 3 + 11 + 20 + 14 + 313 + 302 = 666.

It is an interprime number because it is at equal distance from previous prime (123112014313291) and next prime (123112014313313).

It is a super-2 number, since 2×123112014313302² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2213381052 + ... + 2213436672.

It is an arithmetic number, because the mean of its divisors is an integer number (1258353192600).

Almost surely, 2^{123112014313302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123112014313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161069208652800).

123112014313302 is an abundant number, since it is smaller than the sum of its proper divisors (199026402992298).

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

123112014313302 is a wasteful number, since it uses less digits than its factorization.

123112014313302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56500 (or 56494 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123112014313302 its reverse (203313410211321), we get a palindrome (326425424524623).

The spelling of 123112014313302 in words is "one hundred twenty-three trillion, one hundred twelve billion, fourteen million, three hundred thirteen thousand, three hundred two".