1200550400 has 120 divisors (see below), whose sum is σ = 3399633600. Its totient is φ = 411586560.

The previous prime is 1200550391. The next prime is 1200550447. The reversal of 1200550400 is 40550021.

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 11 ways as a sum of consecutive naturals, for example, 82901 + ... + 96299.

It is an arithmetic number, because the mean of its divisors is an integer number (28330280).

Almost surely, 2^1200550400 is an apocalyptic number.

1200550400 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 1200550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699816800).

1200550400 is an abundant number, since it is smaller than the sum of its proper divisors (2199083200).

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

1200550400 is an equidigital number, since it uses as much as digits as its factorization.

1200550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1200550400 is about 34648.9595803395. The cubic root of 1200550400 is about 1062.8210130372.

The spelling of 1200550400 in words is "one billion, two hundred million, five hundred fifty thousand, four hundred".