1032412000 has 96 divisors (see below), whose sum is σ = 2551348800. Its totient is φ = 410572800.

The previous prime is 1032411997. The next prime is 1032412009. The reversal of 1032412000 is 2142301.

1032412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032412009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795352 + ... + 796648.

It is an arithmetic number, because the mean of its divisors is an integer number (26576550).

Almost surely, 2^1032412000 is an apocalyptic number.

1032412000 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 1032412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275674400).

1032412000 is an abundant number, since it is smaller than the sum of its proper divisors (1518936800).

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

1032412000 is a wasteful number, since it uses less digits than its factorization.

1032412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1032412000 is about 32131.1686684440. The cubic root of 1032412000 is about 1010.6893310738.

Adding to 1032412000 its reverse (2142301), we get a palindrome (1034554301).

The spelling of 1032412000 in words is "one billion, thirty-two million, four hundred twelve thousand".