1285211200 has 378 divisors, whose sum is σ = 4024551006. Its totient is φ = 402554880.

The previous prime is 1285211197. The next prime is 1285211231. The reversal of 1285211200 is 21125821.

It can be written as a sum of positive squares in 9 ways, for example, as 851238976 + 433972224 = 29176^2 + 20832^2 .

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 53 ways as a sum of consecutive naturals, for example, 13249552 + ... + 13249648.

Almost surely, 2^1285211200 is an apocalyptic number.

1285211200 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 1285211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012275503).

1285211200 is an abundant number, since it is smaller than the sum of its proper divisors (2739339806).

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

1285211200 is a wasteful number, since it uses less digits than its factorization.

1285211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1285211200 is about 35849.8423985378. The cubic root of 1285211200 is about 1087.2385278812.

The spelling of 1285211200 in words is "one billion, two hundred eighty-five million, two hundred eleven thousand, two hundred".