1012334000 has 80 divisors (see below), whose sum is σ = 2455527360. Its totient is φ = 403660800.

The previous prime is 1012333957. The next prime is 1012334017. The reversal of 1012334000 is 4332101.

It is a tau number, because it is divible by the number of its divisors (80).

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, 877424 + ... + 878576.

It is an arithmetic number, because the mean of its divisors is an integer number (30694092).

Almost surely, 2^1012334000 is an apocalyptic number.

1012334000 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 1012334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227763680).

1012334000 is an abundant number, since it is smaller than the sum of its proper divisors (1443193360).

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

1012334000 is a wasteful number, since it uses less digits than its factorization.

1012334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1012334000 is about 31817.1966081237. The cubic root of 1012334000 is about 1004.0945451512.

Adding to 1012334000 its reverse (4332101), we get a palindrome (1016666101).

The spelling of 1012334000 in words is "one billion, twelve million, three hundred thirty-four thousand".