1121982016 has 63 divisors (see below), whose sum is σ = 2298321921. Its totient is φ = 543439104.

The previous prime is 1121982011. The next prime is 1121982047. The reversal of 1121982016 is 6102891211.

It is a happy number.

The square root of 1121982016 is 33496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 808833600 + 313148416 = 28440^2 + 17696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121982011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14202265 + ... + 14202343.

Almost surely, 2^1121982016 is an apocalyptic number.

1121982016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1121982016 is the 33496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121982016

1121982016 is an abundant number, since it is smaller than the sum of its proper divisors (1176339905).

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

1121982016 is an frugal number, since it uses more digits than its factorization.

1121982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The cubic root of 1121982016 is about 1039.1110549821. Note that the first 3 decimals are identical.

The spelling of 1121982016 in words is "one billion, one hundred twenty-one million, nine hundred eighty-two thousand, sixteen".