1285001872 has 120 divisors (see below), whose sum is σ = 3190777920. Its totient is φ = 495694080.

The previous prime is 1285001867. The next prime is 1285001873. The reversal of 1285001872 is 2781005821.

It is a super-2 number, since 2×1285001872² = 3302459622087008768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1285001873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939333 + ... + 940699.

It is an arithmetic number, because the mean of its divisors is an integer number (26589816).

Almost surely, 2^1285001872 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 1285001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595388960).

1285001872 is an abundant number, since it is smaller than the sum of its proper divisors (1905776048).

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

1285001872 is a wasteful number, since it uses less digits than its factorization.

1285001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 1285001872 is about 35846.9227689072. The cubic root of 1285001872 is about 1087.1794969027.

The spelling of 1285001872 in words is "one billion, two hundred eighty-five million, one thousand, eight hundred seventy-two".