123201288 has 144 divisors (see below), whose sum is σ = 396938880. Its totient is φ = 34405056.

The previous prime is 123201257. The next prime is 123201289. The reversal of 123201288 is 882102321.

It is not an unprimeable number, because it can be changed into a prime (123201289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165445 + ... + 166187.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2^123201288 is an apocalyptic number.

123201288 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 123201288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

123201288 is an abundant number, since it is smaller than the sum of its proper divisors (273737592).

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

123201288 is a wasteful number, since it uses less digits than its factorization.

123201288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 123201288 is about 11099.6075606302. The cubic root of 123201288 is about 497.5901209599.

It can be divided in two parts, 1232012 and 88, that added together give a square (1232100 = 1110²).

The spelling of 123201288 in words is "one hundred twenty-three million, two hundred one thousand, two hundred eighty-eight".