1211318416 has 135 divisors (see below), whose sum is σ = 3027646713. Its totient is φ = 467765760.

The previous prime is 1211318413. The next prime is 1211318447. The reversal of 1211318416 is 6148131121.

The square root of 1211318416 is 34804.

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., 21344400 + 1189974016 = 4620^2 + 34496^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1211318411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10719576 + ... + 10719688.

Almost surely, 2^1211318416 is an apocalyptic number.

1211318416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1211318416 is the 34804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211318416

1211318416 is an abundant number, since it is smaller than the sum of its proper divisors (1816328297).

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

1211318416 is a wasteful number, since it uses less digits than its factorization.

1211318416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The cubic root of 1211318416 is about 1065.9891230159.

Adding to 1211318416 its reverse (6148131121), we get a palindrome (7359449537).

The spelling of 1211318416 in words is "one billion, two hundred eleven million, three hundred eighteen thousand, four hundred sixteen".