1216882016 has 48 divisors (see below), whose sum is σ = 2744388864. Its totient is φ = 520301184.

The previous prime is 1216881979. The next prime is 1216882019. The reversal of 1216882016 is 6102886121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216882019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93101 + ... + 105363.

It is an arithmetic number, because the mean of its divisors is an integer number (57174768).

Almost surely, 2^1216882016 is an apocalyptic number.

1216882016 is a gapful number since it is divisible by the number (16) 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 1216882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372194432).

1216882016 is an abundant number, since it is smaller than the sum of its proper divisors (1527506848).

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

1216882016 is a wasteful number, since it uses less digits than its factorization.

1216882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1216882016 is about 34883.8360275931. The cubic root of 1216882016 is about 1067.6186643275.

The spelling of 1216882016 in words is "one billion, two hundred sixteen million, eight hundred eighty-two thousand, sixteen".