1032112000 has 128 divisors (see below), whose sum is σ = 2586336480. Its totient is φ = 409600000.

The previous prime is 1032111989. The next prime is 1032112021. The reversal of 1032112000 is 2112301.

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 (10).

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, 4015872 + ... + 4016128.

Almost surely, 2^1032112000 is an apocalyptic number.

1032112000 is a gapful number since it is divisible by the number (10) 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 1032112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293168240).

1032112000 is an abundant number, since it is smaller than the sum of its proper divisors (1554224480).

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

1032112000 is an equidigital number, since it uses as much as digits as its factorization.

1032112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1032112000 is about 32126.4999649822. The cubic root of 1032112000 is about 1010.5914256598.

Adding to 1032112000 its reverse (2112301), we get a palindrome (1034224301).

The spelling of 1032112000 in words is "one billion, thirty-two million, one hundred twelve thousand".