1012095000 has 720 divisors, whose sum is σ = 4375130760. Its totient is φ = 217728000.

The previous prime is 1012094987. The next prime is 1012095031. The reversal of 1012095000 is 5902101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 179 ways as a sum of consecutive naturals, for example, 59534992 + ... + 59535008.

Almost surely, 2^1012095000 is an apocalyptic number.

1012095000 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 1012095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187565380).

1012095000 is an abundant number, since it is smaller than the sum of its proper divisors (3363035760).

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

1012095000 is an equidigital number, since it uses as much as digits as its factorization.

1012095000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1012095000 is about 31813.4405558405. The cubic root of 1012095000 is about 1004.0155206777.

Adding to 1012095000 its reverse (5902101), we get a palindrome (1017997101).

The spelling of 1012095000 in words is "one billion, twelve million, ninety-five thousand".