1216288128 has 96 divisors (see below), whose sum is σ = 3551307480. Its totient is φ = 368558080.

The previous prime is 1216288111. The next prime is 1216288147. The reversal of 1216288128 is 8218826121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 33376 + ... + 59552.

Almost surely, 2^1216288128 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 1216288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775653740).

1216288128 is an abundant number, since it is smaller than the sum of its proper divisors (2335019352).

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

1216288128 is a wasteful number, since it uses less digits than its factorization.

1216288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26216 (or 26193 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 1216288128 is about 34875.3226221637. The cubic root of 1216288128 is about 1067.4449555977. Note that the first 3 decimals are identical.

The spelling of 1216288128 in words is "one billion, two hundred sixteen million, two hundred eighty-eight thousand, one hundred twenty-eight".