1012128858 has 160 divisors (see below), whose sum is σ = 2595479040. Its totient is φ = 292533120.

The previous prime is 1012128853. The next prime is 1012128877. The reversal of 1012128858 is 8588212101.

It is not an unprimeable number, because it can be changed into a prime (1012128851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2415373 + ... + 2415791.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^1012128858 is an apocalyptic number.

1012128858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012128858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297739520).

1012128858 is an abundant number, since it is smaller than the sum of its proper divisors (1583350182).

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

1012128858 is a wasteful number, since it uses less digits than its factorization.

1012128858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1012128858 is about 31813.9726849697. The cubic root of 1012128858 is about 1004.0267164576.

The spelling of 1012128858 in words is "one billion, twelve million, one hundred twenty-eight thousand, eight hundred fifty-eight".