123887232 has 192 divisors, whose sum is σ = 423259200. Its totient is φ = 35334144.

The previous prime is 123887227. The next prime is 123887233. The reversal of 123887232 is 232788321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is not an unprimeable number, because it can be changed into a prime (123887233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217444 + ... + 218012.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^123887232 is an apocalyptic number.

123887232 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 123887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211629600).

123887232 is an abundant number, since it is smaller than the sum of its proper divisors (299371968).

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

123887232 is an frugal number, since it uses more digits than its factorization.

123887232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 123887232 is about 11130.4641412656. The cubic root of 123887232 is about 498.5118847532.

The spelling of 123887232 in words is "one hundred twenty-three million, eight hundred eighty-seven thousand, two hundred thirty-two".