1200256560 has 120 divisors (see below), whose sum is σ = 4051600800. Its totient is φ = 318422016.

The previous prime is 1200256513. The next prime is 1200256567. The reversal of 1200256560 is 656520021.

1200256560 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 5 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1200256567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139092 + ... + 147468.

It is an arithmetic number, because the mean of its divisors is an integer number (33763340).

Almost surely, 2^1200256560 is an apocalyptic number.

1200256560 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 1200256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025800400).

1200256560 is an abundant number, since it is smaller than the sum of its proper divisors (2851344240).

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

1200256560 is a wasteful number, since it uses less digits than its factorization.

1200256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1200256560 is about 34644.7190780933. The cubic root of 1200256560 is about 1062.7342959201.

Adding to 1200256560 its reverse (656520021), we get a palindrome (1856776581).

The spelling of 1200256560 in words is "one billion, two hundred million, two hundred fifty-six thousand, five hundred sixty".