123100032 has 128 divisors (see below), whose sum is σ = 360933120. Its totient is φ = 36864000.

The previous prime is 123099997. The next prime is 123100051. The reversal of 123100032 is 230001321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123099990 and 123100017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 637728 + ... + 637920.

It is an arithmetic number, because the mean of its divisors is an integer number (2819790).

Almost surely, 2^123100032 is an apocalyptic number.

123100032 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 123100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180466560).

123100032 is an abundant number, since it is smaller than the sum of its proper divisors (237833088).

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

123100032 is a wasteful number, since it uses less digits than its factorization.

123100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123100032 is about 11095.0453807094. The cubic root of 123100032 is about 497.4537647158.

Adding to 123100032 its reverse (230001321), we get a palindrome (353101353).

The spelling of 123100032 in words is "one hundred twenty-three million, one hundred thousand, thirty-two".