1285200000 has 768 divisors, whose sum is σ = 5737132800. Its totient is φ = 276480000.

The previous prime is 1285199999. The next prime is 1285200019. The reversal of 1285200000 is 25821.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 75599992 + ... + 75600008.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^1285200000 is an apocalyptic number.

1285200000 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 1285200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

1285200000 is an abundant number, since it is smaller than the sum of its proper divisors (4451932800).

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

1285200000 is an frugal number, since it uses more digits than its factorization.

1285200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1285200000 is about 35849.6861910952. The cubic root of 1285200000 is about 1087.2353696177.

Adding to 1285200000 its reverse (25821), we get a palindrome (1285225821).

The spelling of 1285200000 in words is "one billion, two hundred eighty-five million, two hundred thousand".