123112032445314 has 128 divisors (see below), whose sum is σ = 299279728661760. Its totient is φ = 37203404544000.

The previous prime is 123112032445309. The next prime is 123112032445319. The reversal of 123112032445314 is 413544230211321.

123112032445314 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 203 + 2 + 445 + 3 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (123112032445309) and next prime (123112032445319).

It is not an unprimeable number, because it can be changed into a prime (123112032445319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4076947264 + ... + 4076977460.

It is an arithmetic number, because the mean of its divisors is an integer number (2338122880170).

Almost surely, 2^{123112032445314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123112032445314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149639864330880).

123112032445314 is an abundant number, since it is smaller than the sum of its proper divisors (176167696216446).

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

123112032445314 is a wasteful number, since it uses less digits than its factorization.

123112032445314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48993 (or 48987 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 123112032445314 its reverse (413544230211321), we get a palindrome (536656262656635).

The spelling of 123112032445314 in words is "one hundred twenty-three trillion, one hundred twelve billion, thirty-two million, four hundred forty-five thousand, three hundred fourteen".