1200805632 has 216 divisors, whose sum is σ = 3812337984. Its totient is φ = 361193472.

The previous prime is 1200805589. The next prime is 1200805637. The reversal of 1200805632 is 2365080021.

1200805632 is a `hidden beast` number, since 1 + 20 + 0 + 8 + 0 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1200805596 and 1200805605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200805637) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1407318 + ... + 1408170.

Almost surely, 2^1200805632 is an apocalyptic number.

1200805632 is a gapful number since it is divisible by the number (12) 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 1200805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906168992).

1200805632 is an abundant number, since it is smaller than the sum of its proper divisors (2611532352).

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

1200805632 is a wasteful number, since it uses less digits than its factorization.

1200805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1200805632 is about 34652.6424966409. The cubic root of 1200805632 is about 1062.8963248030.

Adding to 1200805632 its reverse (2365080021), we get a palindrome (3565885653).

The spelling of 1200805632 in words is "one billion, two hundred million, eight hundred five thousand, six hundred thirty-two".