1216881792 has 352 divisors, whose sum is σ = 4336534080. Its totient is φ = 332563968.

The previous prime is 1216881773. The next prime is 1216881821. The reversal of 1216881792 is 2971886121.

It is a super-2 number, since 2×1216881792² = 2961602591402262528, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 52907893 + ... + 52907915.

Almost surely, 2^1216881792 is an apocalyptic number.

1216881792 is a gapful number since it is divisible by the number (12) 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 1216881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168267040).

1216881792 is an abundant number, since it is smaller than the sum of its proper divisors (3119652288).

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

1216881792 is an frugal number, since it uses more digits than its factorization.

1216881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1216881792 is about 34883.8328169368. The cubic root of 1216881792 is about 1067.6185988195.

The spelling of 1216881792 in words is "one billion, two hundred sixteen million, eight hundred eighty-one thousand, seven hundred ninety-two".