1012332000 has 192 divisors, whose sum is σ = 3431937600. Its totient is φ = 260556800.

The previous prime is 1012331933. The next prime is 1012332007. The reversal of 1012332000 is 2332101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346546 + ... + 349454.

It is an arithmetic number, because the mean of its divisors is an integer number (17874675).

Almost surely, 2^1012332000 is an apocalyptic number.

1012332000 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 1012332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715968800).

1012332000 is an abundant number, since it is smaller than the sum of its proper divisors (2419605600).

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

1012332000 is a wasteful number, since it uses less digits than its factorization.

1012332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1012332000 is about 31817.1651785636. The cubic root of 1012332000 is about 1004.0938839102.

Adding to 1012332000 its reverse (2332101), we get a palindrome (1014664101).

The spelling of 1012332000 in words is "one billion, twelve million, three hundred thirty-two thousand".