123612288 has 64 divisors (see below), whose sum is σ = 329517120. Its totient is φ = 41057280.

The previous prime is 123612263. The next prime is 123612311. The reversal of 123612288 is 882216321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186678 + ... + 187338.

It is an arithmetic number, because the mean of its divisors is an integer number (5148705).

Almost surely, 2^123612288 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 123612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164758560).

123612288 is an abundant number, since it is smaller than the sum of its proper divisors (205904832).

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

123612288 is an equidigital number, since it uses as much as digits as its factorization.

123612288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 123612288 is about 11118.1063135770. The cubic root of 123612288 is about 498.1428276961.

The spelling of 123612288 in words is "one hundred twenty-three million, six hundred twelve thousand, two hundred eighty-eight".