1285124000 has 96 divisors (see below), whose sum is σ = 3189814992. Its totient is φ = 508800000.

The previous prime is 1285123999. The next prime is 1285124021. The reversal of 1285124000 is 4215821.

It can be written as a sum of positive squares in 8 ways, for example, as 60403984 + 1224720016 = 7772^2 + 34996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402410 + ... + 405590.

Almost surely, 2^1285124000 is an apocalyptic number.

1285124000 is a gapful number since it is divisible by the number (10) 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 1285124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594907496).

1285124000 is an abundant number, since it is smaller than the sum of its proper divisors (1904690992).

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

1285124000 is a wasteful number, since it uses less digits than its factorization.

1285124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1285124000 is about 35848.6261940398. The cubic root of 1285124000 is about 1087.2139380592.

Adding to 1285124000 its reverse (4215821), we get a palindrome (1289339821).

The spelling of 1285124000 in words is "one billion, two hundred eighty-five million, one hundred twenty-four thousand".