1216313280 has 1008 divisors, whose sum is σ = 5722863840. Its totient is φ = 241532928.

The previous prime is 1216313279. The next prime is 1216313299. The reversal of 1216313280 is 823136121.

It is a happy number.

1216313280 is a `hidden beast` number, since 1 + 2 + 1 + 631 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71547832 + ... + 71547848.

Almost surely, 2^1216313280 is an apocalyptic number.

1216313280 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 1216313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861431920).

1216313280 is an abundant number, since it is smaller than the sum of its proper divisors (4506550560).

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

1216313280 is a wasteful number, since it uses less digits than its factorization.

1216313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1216313280 is about 34875.6832191141. The cubic root of 1216313280 is about 1067.4523135556.

The spelling of 1216313280 in words is "one billion, two hundred sixteen million, three hundred thirteen thousand, two hundred eighty".