123817356 has 96 divisors (see below), whose sum is σ = 357739200. Its totient is φ = 36771840.

The previous prime is 123817333. The next prime is 123817367. The reversal of 123817356 is 653718321.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123817356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39196 + ... + 42236.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2^123817356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123817356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

123817356 is an abundant number, since it is smaller than the sum of its proper divisors (233921844).

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

123817356 is a wasteful number, since it uses less digits than its factorization.

123817356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3088 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 123817356 is about 11127.3247458677. The cubic root of 123817356 is about 498.4181420619.

The spelling of 123817356 in words is "one hundred twenty-three million, eight hundred seventeen thousand, three hundred fifty-six".