1200900960 has 288 divisors, whose sum is σ = 4730806080. Its totient is φ = 271724544.

The previous prime is 1200900959. The next prime is 1200900979. The reversal of 1200900960 is 690090021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1098174 + ... + 1099266.

It is an arithmetic number, because the mean of its divisors is an integer number (16426410).

Almost surely, 2^1200900960 is an apocalyptic number.

1200900960 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 1200900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365403040).

1200900960 is an abundant number, since it is smaller than the sum of its proper divisors (3529905120).

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

1200900960 is a wasteful number, since it uses less digits than its factorization.

1200900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1200900960 is about 34654.0179488613. The cubic root of 1200900960 is about 1062.9244506703.

Adding to 1200900960 its reverse (690090021), we get a palindrome (1890990981).

The spelling of 1200900960 in words is "one billion, two hundred million, nine hundred thousand, nine hundred sixty".