232112100 has 144 divisors (see below), whose sum is σ = 752826816. Its totient is φ = 54720000.

The previous prime is 232112081. The next prime is 232112119. The reversal of 232112100 is 1211232.

It is an interprime number because it is at equal distance from previous prime (232112081) and next prime (232112119).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121150 + ... + 123050.

It is an arithmetic number, because the mean of its divisors is an integer number (5227964).

Almost surely, 2^232112100 is an apocalyptic number.

232112100 is a gapful number since it is divisible by the number (20) 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 232112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376413408).

232112100 is an abundant number, since it is smaller than the sum of its proper divisors (520714716).

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

232112100 is a wasteful number, since it uses less digits than its factorization.

232112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 232112100 is about 15235.2256300982. The cubic root of 232112100 is about 614.5623166486.

Adding to 232112100 its reverse (1211232), we get a palindrome (233323332).

The spelling of 232112100 in words is "two hundred thirty-two million, one hundred twelve thousand, one hundred".