123012315501345 has 40 divisors (see below), whose sum is σ = 228114791985960. Its totient is φ = 63344272803840.

The previous prime is 123012315501323. The next prime is 123012315501349. The reversal of 123012315501345 is 543105513210321.

It is a happy number.

123012315501345 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 2 + 31 + 550 + 1 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5665966148241 + 117346349353104 = 2380329^2 + 10832652^2 .

It is not a de Polignac number, because 123012315501345 - 2¹² = 123012315497249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123012315501349) 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 39 ways as a sum of consecutive naturals, for example, 5236783296 + ... + 5236806785.

It is an arithmetic number, because the mean of its divisors is an integer number (5702869799649).

Almost surely, 2^{123012315501345} is an apocalyptic number.

123012315501345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123012315501345 is a deficient number, since it is larger than the sum of its proper divisors (105102476484615).

123012315501345 is a wasteful number, since it uses less digits than its factorization.

123012315501345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473590127 (or 10473590118 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 123012315501345 its reverse (543105513210321), we get a palindrome (666117828711666).

The spelling of 123012315501345 in words is "one hundred twenty-three trillion, twelve billion, three hundred fifteen million, five hundred one thousand, three hundred forty-five".