123133032 has 96 divisors (see below), whose sum is σ = 367454880. Its totient is φ = 36938880.

The previous prime is 123133019. The next prime is 123133067. The reversal of 123133032 is 230331321.

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 = 123132996 and 123133014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84018 + ... + 85470.

It is an arithmetic number, because the mean of its divisors is an integer number (3827655).

Almost surely, 2^123133032 is an apocalyptic number.

123133032 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 123133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183727440).

123133032 is an abundant number, since it is smaller than the sum of its proper divisors (244321848).

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

123133032 is a wasteful number, since it uses less digits than its factorization.

123133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123133032 is about 11096.5324313499. The cubic root of 123133032 is about 497.4982123283.

Adding to 123133032 its reverse (230331321), we get a palindrome (353464353).

The spelling of 123133032 in words is "one hundred twenty-three million, one hundred thirty-three thousand, thirty-two".