1200559104 has 176 divisors, whose sum is σ = 3590274240. Its totient is φ = 396288000.

The previous prime is 1200559051. The next prime is 1200559109. The reversal of 1200559104 is 4019550021.

1200559104 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 559 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200559109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782979 + ... + 4783229.

Almost surely, 2^1200559104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795137120).

1200559104 is an abundant number, since it is smaller than the sum of its proper divisors (2389715136).

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

1200559104 is a wasteful number, since it uses less digits than its factorization.

1200559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1200559104 is about 34649.0851827289. The cubic root of 1200559104 is about 1062.8235815179.

The spelling of 1200559104 in words is "one billion, two hundred million, five hundred fifty-nine thousand, one hundred four".