123804288 has 80 divisors (see below), whose sum is σ = 368470410. Its totient is φ = 41264640.

The previous prime is 123804283. The next prime is 123804313. The reversal of 123804288 is 882408321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 115089984 + 8714304 = 10728^2 + 2952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123804283) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4398 + ... + 16338.

Almost surely, 2^123804288 is an apocalyptic number.

123804288 is a gapful number since it is divisible by the number (18) 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 123804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184235205).

123804288 is an abundant number, since it is smaller than the sum of its proper divisors (244666122).

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

123804288 is an equidigital number, since it uses as much as digits as its factorization.

123804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 123804288 is about 11126.7375272359. The cubic root of 123804288 is about 498.4006066704.

The spelling of 123804288 in words is "one hundred twenty-three million, eight hundred four thousand, two hundred eighty-eight".