10032332112 has 200 divisors, whose sum is σ = 31895503200. Its totient is φ = 3019057920.

The previous prime is 10032332087. The next prime is 10032332113. The reversal of 10032332112 is 21123323001.

10032332112 is a `hidden beast` number, since 10 + 0 + 323 + 321 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032332113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2121783 + ... + 2126505.

It is an arithmetic number, because the mean of its divisors is an integer number (159477516).

Almost surely, 2^10032332112 is an apocalyptic number.

10032332112 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 10032332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947751600).

10032332112 is an abundant number, since it is smaller than the sum of its proper divisors (21863171088).

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

10032332112 is a wasteful number, since it uses less digits than its factorization.

10032332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4888 counting only the distinct ones).

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

Adding to 10032332112 its reverse (21123323001), we get a palindrome (31155655113).

The spelling of 10032332112 in words is "ten billion, thirty-two million, three hundred thirty-two thousand, one hundred twelve".