123605312 has 56 divisors (see below), whose sum is σ = 258299712. Its totient is φ = 58572800.

The previous prime is 123605299. The next prime is 123605327. The reversal of 123605312 is 213506321.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192512 + ... + 193152.

Almost surely, 2^123605312 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 123605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129149856).

123605312 is an abundant number, since it is smaller than the sum of its proper divisors (134694400).

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

123605312 is a wasteful number, since it uses less digits than its factorization.

123605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 123605312 is about 11117.7925866604. The cubic root of 123605312 is about 498.1334567029.

The spelling of 123605312 in words is "one hundred twenty-three million, six hundred five thousand, three hundred twelve".