123653112 has 64 divisors (see below), whose sum is σ = 346377600. Its totient is φ = 36455040.

The previous prime is 123653111. The next prime is 123653119. The reversal of 123653112 is 211356321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123653111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3439 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (5412150).

Almost surely, 2^123653112 is an apocalyptic number.

123653112 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 123653112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173188800).

123653112 is an abundant number, since it is smaller than the sum of its proper divisors (222724488).

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

123653112 is a wasteful number, since it uses less digits than its factorization.

123653112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12712 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 123653112 is about 11119.9420861801. The cubic root of 123653112 is about 498.1976602828.

The spelling of 123653112 in words is "one hundred twenty-three million, six hundred fifty-three thousand, one hundred twelve".