1012258128 has 160 divisors (see below), whose sum is σ = 3109642240. Its totient is φ = 277655040.

The previous prime is 1012258109. The next prime is 1012258139. The reversal of 1012258128 is 8218522101.

1012258128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012258095 and 1012258104.

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, 1635003 + ... + 1635621.

It is an arithmetic number, because the mean of its divisors is an integer number (19435264).

Almost surely, 2^1012258128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012258128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554821120).

1012258128 is an abundant number, since it is smaller than the sum of its proper divisors (2097384112).

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

1012258128 is a wasteful number, since it uses less digits than its factorization.

1012258128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1012258128 is about 31816.0042745785. The cubic root of 1012258128 is about 1004.0694597003.

The spelling of 1012258128 in words is "one billion, twelve million, two hundred fifty-eight thousand, one hundred twenty-eight".