1200300160 has 128 divisors (see below), whose sum is σ = 2996352000. Its totient is φ = 459264000.

The previous prime is 1200300137. The next prime is 1200300161. The reversal of 1200300160 is 610030021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1200300160.

It is not an unprimeable number, because it can be changed into a prime (1200300161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2003541 + ... + 2004139.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 2^1200300160 is an apocalyptic number.

1200300160 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 1200300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

1200300160 is an abundant number, since it is smaller than the sum of its proper divisors (1796051840).

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

1200300160 is a wasteful number, since it uses less digits than its factorization.

1200300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1200300160 is about 34645.3483169097. The cubic root of 1200300160 is about 1062.7471639062.

Adding to 1200300160 its reverse (610030021), we get a palindrome (1810330181).

The spelling of 1200300160 in words is "one billion, two hundred million, three hundred thousand, one hundred sixty".