1012099968 has 256 divisors, whose sum is σ = 3309696000. Its totient is φ = 301916160.

The previous prime is 1012099937. The next prime is 1012099973. The reversal of 1012099968 is 8699902101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003096 + ... + 3003432.

It is an arithmetic number, because the mean of its divisors is an integer number (12928500).

Almost surely, 2^1012099968 is an apocalyptic number.

1012099968 is a gapful number since it is divisible by the number (18) 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 1012099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654848000).

1012099968 is an abundant number, since it is smaller than the sum of its proper divisors (2297596032).

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

1012099968 is a wasteful number, since it uses less digits than its factorization.

1012099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1012099968 is about 31813.5186359510. The cubic root of 1012099968 is about 1004.0171634553.

The spelling of 1012099968 in words is "one billion, twelve million, ninety-nine thousand, nine hundred sixty-eight".