123552352 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 46924800.

The previous prime is 123552349. The next prime is 123552367. The reversal of 123552352 is 253255321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123552352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100413 + ... + 101635.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2^123552352 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 123552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

123552352 is an abundant number, since it is smaller than the sum of its proper divisors (187363232).

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

123552352 is a wasteful number, since it uses less digits than its factorization.

123552352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 9000, while the sum is 28.

The square root of 123552352 is about 11115.4105637174. The cubic root of 123552352 is about 498.0623030281.

It can be divided in two parts, 123552 and 352, that added together give a square (123904 = 352²).

The spelling of 123552352 in words is "one hundred twenty-three million, five hundred fifty-two thousand, three hundred fifty-two".