123601032 has 64 divisors (see below), whose sum is σ = 344433600. Its totient is φ = 41068800.

The previous prime is 123601007. The next prime is 123601043. The reversal of 123601032 is 230106321.

It is a super-2 number, since 2×123601032² = 30554430222930048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123600996 and 123601014.

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, 85903 + ... + 87329.

It is an arithmetic number, because the mean of its divisors is an integer number (5381775).

Almost surely, 2^123601032 is an apocalyptic number.

123601032 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 123601032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216800).

123601032 is an abundant number, since it is smaller than the sum of its proper divisors (220832568).

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

123601032 is a wasteful number, since it uses less digits than its factorization.

123601032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1833 counting only the distinct ones).

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

The square root of 123601032 is about 11117.6001007412. The cubic root of 123601032 is about 498.1277071231.

Adding to 123601032 its reverse (230106321), we get a palindrome (353707353).

The spelling of 123601032 in words is "one hundred twenty-three million, six hundred one thousand, thirty-two".