1211516416 has 80 divisors (see below), whose sum is σ = 2671503120. Its totient is φ = 544276480.

The previous prime is 1211516413. The next prime is 1211516417. The reversal of 1211516416 is 6146151121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211516413) 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, 500040 + ... + 502456.

It is an arithmetic number, because the mean of its divisors is an integer number (33393789).

Almost surely, 2^1211516416 is an apocalyptic number.

1211516416 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 1211516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335751560).

1211516416 is an abundant number, since it is smaller than the sum of its proper divisors (1459986704).

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

1211516416 is an equidigital number, since it uses as much as digits as its factorization.

1211516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2519 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 1211516416 is about 34806.8443844023. The cubic root of 1211516416 is about 1066.0472014271.

Adding to 1211516416 its reverse (6146151121), we get a palindrome (7357667537).

The spelling of 1211516416 in words is "one billion, two hundred eleven million, five hundred sixteen thousand, four hundred sixteen".