123315333454152 has 384 divisors, whose sum is σ = 418293338112000. Its totient is φ = 33518495122560.

The previous prime is 123315333454139. The next prime is 123315333454153. The reversal of 123315333454152 is 251454333513321.

123315333454152 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 53 + 3 + 3 + 4 + 541 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123315333454098 and 123315333454107.

It is not an unprimeable number, because it can be changed into a prime (123315333454153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16173033 + ... + 22543239.

It is an arithmetic number, because the mean of its divisors is an integer number (1089305568000).

Almost surely, 2^{123315333454152} is an apocalyptic number.

123315333454152 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 123315333454152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209146669056000).

123315333454152 is an abundant number, since it is smaller than the sum of its proper divisors (294978004657848).

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

123315333454152 is a wasteful number, since it uses less digits than its factorization.

123315333454152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370326 (or 6370309 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

Adding to 123315333454152 its reverse (251454333513321), we get a palindrome (374769666967473).

The spelling of 123315333454152 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred thirty-three million, four hundred fifty-four thousand, one hundred fifty-two".