1264912128 has 108 divisors (see below), whose sum is σ = 3724969248. Its totient is φ = 412631040.

The previous prime is 1264912097. The next prime is 1264912133. The reversal of 1264912128 is 8212194621.

1264912128 is a `hidden beast` number, since 1 + 2 + 649 + 1 + 2 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×1264912128² = 3200005383122976768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1264912092 and 1264912101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102448 + ... + 114128.

It is an arithmetic number, because the mean of its divisors is an integer number (34490456).

Almost surely, 2^1264912128 is an apocalyptic number.

1264912128 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 1264912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862484624).

1264912128 is an abundant number, since it is smaller than the sum of its proper divisors (2460057120).

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

1264912128 is a wasteful number, since it uses less digits than its factorization.

1264912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11733 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1264912128 is about 35565.6031581077. The cubic root of 1264912128 is about 1081.4840503367.

The spelling of 1264912128 in words is "one billion, two hundred sixty-four million, nine hundred twelve thousand, one hundred twenty-eight".