1217085200 has 60 divisors (see below), whose sum is σ = 2964173748. Its totient is φ = 480153600.

The previous prime is 1217085197. The next prime is 1217085239. The reversal of 1217085200 is 25807121.

It can be written as a sum of positive squares in 6 ways, for example, as 8271376 + 1208813824 = 2876^2 + 34768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1217085200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8360 + ... + 50040.

Almost surely, 2^1217085200 is an apocalyptic number.

1217085200 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 1217085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482086874).

1217085200 is an abundant number, since it is smaller than the sum of its proper divisors (1747088548).

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

1217085200 is a wasteful number, since it uses less digits than its factorization.

1217085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41772 (or 41761 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1217085200 is about 34886.7482004270. The cubic root of 1217085200 is about 1067.6780814706.

The spelling of 1217085200 in words is "one billion, two hundred seventeen million, eighty-five thousand, two hundred".