1066126512 has 80 divisors (see below), whose sum is σ = 3049483392. Its totient is φ = 318236160.

The previous prime is 1066126511. The next prime is 1066126517. The reversal of 1066126512 is 2156216601.

It is a super-2 number, since 2×1066126512² = 2273251479178572288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066126512.

It is not an unprimeable number, because it can be changed into a prime (1066126511) 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 15 ways as a sum of consecutive naturals, for example, 20308 + ... + 50444.

Almost surely, 2^1066126512 is an apocalyptic number.

1066126512 is a gapful number since it is divisible by the number (12) 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 1066126512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524741696).

1066126512 is an abundant number, since it is smaller than the sum of its proper divisors (1983356880).

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

1066126512 is a wasteful number, since it uses less digits than its factorization.

1066126512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30226 (or 30220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1066126512 is about 32651.5927942267. The cubic root of 1066126512 is about 1021.5734117307.

It can be divided in two parts, 10661 and 26512, that added together give a palindrome (37173).

The spelling of 1066126512 in words is "one billion, sixty-six million, one hundred twenty-six thousand, five hundred twelve".