1001012000 has 48 divisors (see below), whose sum is σ = 2459496312. Its totient is φ = 400403200.

The previous prime is 1001011987. The next prime is 1001012087. The reversal of 1001012000 is 2101001.

It is a happy number.

1001012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67831696 + 933180304 = 8236^2 + 30548^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121127 + ... + 129126.

Almost surely, 2^1001012000 is an apocalyptic number.

1001012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012000 is an abundant number, since it is smaller than the sum of its proper divisors (1458484312).

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

1001012000 is an equidigital number, since it uses as much as digits as its factorization.

1001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250278 (or 250260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1001012000 is about 31638.7736804068. The cubic root of 1001012000 is about 1000.3372196035.

Adding to 1001012000 its reverse (2101001), we get a palindrome (1003113001).

The spelling of 1001012000 in words is "one billion, one million, twelve thousand".