1200217648 has 160 divisors (see below), whose sum is σ = 2892672000. Its totient is φ = 471364608.

The previous prime is 1200217637. The next prime is 1200217651. The reversal of 1200217648 is 8467120021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8055078 + ... + 8055226.

It is an arithmetic number, because the mean of its divisors is an integer number (18079200).

Almost surely, 2^1200217648 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 1200217648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446336000).

1200217648 is an abundant number, since it is smaller than the sum of its proper divisors (1692454352).

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

1200217648 is a wasteful number, since it uses less digits than its factorization.

1200217648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1200217648 is about 34644.1574872301. The cubic root of 1200217648 is about 1062.7228112745.

Adding to 1200217648 its reverse (8467120021), we get a palindrome (9667337669).

The spelling of 1200217648 in words is "one billion, two hundred million, two hundred seventeen thousand, six hundred forty-eight".