1200975360 has 320 divisors, whose sum is σ = 4322723328. Its totient is φ = 282230784.

The previous prime is 1200975311. The next prime is 1200975401. The reversal of 1200975360 is 635790021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2296059 + ... + 2296581.

Almost surely, 2^1200975360 is an apocalyptic number.

1200975360 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 1200975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161361664).

1200975360 is an abundant number, since it is smaller than the sum of its proper divisors (3121747968).

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

1200975360 is a wasteful number, since it uses less digits than its factorization.

1200975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1200975360 is about 34655.0914008317. The cubic root of 1200975360 is about 1062.9464008418.

The spelling of 1200975360 in words is "one billion, two hundred million, nine hundred seventy-five thousand, three hundred sixty".