1032112032 has 96 divisors (see below), whose sum is σ = 3104220672. Its totient is φ = 294138624.

The previous prime is 1032112027. The next prime is 1032112061. The reversal of 1032112032 is 2302112301.

It is a tau number, because it is divible by the number of its divisors (96).

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, 295963 + ... + 299429.

It is an arithmetic number, because the mean of its divisors is an integer number (32335632).

Almost surely, 2^1032112032 is an apocalyptic number.

1032112032 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 1032112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552110336).

1032112032 is an abundant number, since it is smaller than the sum of its proper divisors (2072108640).

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

1032112032 is a wasteful number, since it uses less digits than its factorization.

1032112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1032112032 is about 32126.5004630134. The cubic root of 1032112032 is about 1010.5914361040.

Adding to 1032112032 its reverse (2302112301), we get a palindrome (3334224333).

The spelling of 1032112032 in words is "one billion, thirty-two million, one hundred twelve thousand, thirty-two".