123102032 has 40 divisors (see below), whose sum is σ = 255097512. Its totient is φ = 57344000.

The previous prime is 123102029. The next prime is 123102037. The reversal of 123102032 is 230201321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85451536 + 37650496 = 9244^2 + 6136^2 .

It is a super-2 number, since 2×123102032² = 30308220565058048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123101998 and 123102016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123102037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25232 + ... + 29712.

Almost surely, 2^123102032 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 123102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127548756).

123102032 is an abundant number, since it is smaller than the sum of its proper divisors (131995480).

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

123102032 is a wasteful number, since it uses less digits than its factorization.

123102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123102032 is about 11095.1355106641. The cubic root of 123102032 is about 497.4564587366.

Adding to 123102032 its reverse (230201321), we get a palindrome (353303353).

The spelling of 123102032 in words is "one hundred twenty-three million, one hundred two thousand, thirty-two".