123132352 has 56 divisors (see below), whose sum is σ = 280903680. Its totient is φ = 52458240.

The previous prime is 123132311. The next prime is 123132353. The reversal of 123132352 is 253231321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×123132352² = 30323152218103808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84849 + ... + 86287.

Almost surely, 2^123132352 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 123132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

123132352 is an abundant number, since it is smaller than the sum of its proper divisors (157771328).

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

123132352 is a wasteful number, since it uses less digits than its factorization.

123132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 123132352 is about 11096.5017911052. The cubic root of 123132352 is about 497.4972965182.

Adding to 123132352 its reverse (253231321), we get a palindrome (376363673).

The spelling of 123132352 in words is "one hundred twenty-three million, one hundred thirty-two thousand, three hundred fifty-two".