123132312 has 160 divisors (see below), whose sum is σ = 370695600. Its totient is φ = 38071296.

The previous prime is 123132311. The next prime is 123132353. The reversal of 123132312 is 213231321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 898708 + ... + 898844.

Almost surely, 2^123132312 is an apocalyptic number.

123132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 11096×11097.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185347800).

123132312 is an abundant number, since it is smaller than the sum of its proper divisors (247563288).

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

123132312 is a wasteful number, since it uses less digits than its factorization.

123132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123132312 is about 11096.4999887352. The cubic root of 123132312 is about 497.4972426469.

Adding to 123132312 its reverse (213231321), we get a palindrome (336363633).

Subtracting 123132312 from its reverse (213231321), we obtain a palindrome (90099009).

The spelling of 123132312 in words is "one hundred twenty-three million, one hundred thirty-two thousand, three hundred twelve".