123111311118336 has 572 divisors, whose sum is σ = 379295056406172. Its totient is φ = 39925090418688.

The previous prime is 123111311118269. The next prime is 123111311118371. The reversal of 123111311118336 is 633811113111321.

123111311118336 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 1 + 311 + 1 + 1 + 8 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53883586215936 + 69227724902400 = 7340544^2 + 8320320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (148) and by the product (60466176) of the squares of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123111311118336.

It is an unprimeable number.

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 43 ways as a sum of consecutive naturals, for example, 8948987170 + ... + 8949000926.

Almost surely, 2^{123111311118336} is an apocalyptic number.

123111311118336 is a gapful number since it is divisible by the number (16) 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 123111311118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189647528203086).

123111311118336 is an abundant number, since it is smaller than the sum of its proper divisors (256183745287836).

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

123111311118336 is an frugal number, since it uses more digits than its factorization.

123111311118336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13799 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

Adding to 123111311118336 its reverse (633811113111321), we get a palindrome (756922424229657).

The spelling of 123111311118336 in words is "one hundred twenty-three trillion, one hundred eleven billion, three hundred eleven million, one hundred eighteen thousand, three hundred thirty-six".