1008023028012 has 864 divisors, whose sum is σ = 3706001994240. Its totient is φ = 222272778240.

The previous prime is 1008023027993. The next prime is 1008023028049. The reversal of 1008023028012 is 2108203208001.

1008023028012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1008023028012² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6036065953 + ... + 6036066119.

It is an arithmetic number, because the mean of its divisors is an integer number (4289354160).

Almost surely, 2^{1008023028012} is an apocalyptic number.

1008023028012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1004003×1004004.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008023028012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853000997120).

1008023028012 is an abundant number, since it is smaller than the sum of its proper divisors (2697978966228).

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

1008023028012 is a wasteful number, since it uses less digits than its factorization.

1008023028012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1008023028012 in words is "one trillion, eight billion, twenty-three million, twenty-eight thousand, twelve".