1282093312 has 36 divisors (see below), whose sum is σ = 2574060300. Its totient is φ = 637319168.

The previous prime is 1282093283. The next prime is 1282093313. The reversal of 1282093312 is 2133902821.

It can be written as a sum of positive squares in 2 ways, for example, as 1234538496 + 47554816 = 35136^2 + 6896^2 .

It is not an unprimeable number, because it can be changed into a prime (1282093313) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29814 + ... + 58762.

It is an arithmetic number, because the mean of its divisors is an integer number (71501675).

Almost surely, 2^1282093312 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 1282093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287030150).

1282093312 is an abundant number, since it is smaller than the sum of its proper divisors (1291966988).

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

1282093312 is an equidigital number, since it uses as much as digits as its factorization.

1282093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29138 (or 29124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1282093312 is about 35806.3306134544. The cubic root of 1282093312 is about 1086.3586120824.

The spelling of 1282093312 in words is "one billion, two hundred eighty-two million, ninety-three thousand, three hundred twelve".