1211315824 has 80 divisors (see below), whose sum is σ = 2593334016. Its totient is φ = 545587200.

The previous prime is 1211315789. The next prime is 1211315839. The reversal of 1211315824 is 4285131121.

It is a junction number, because it is equal to n+sod(n) for n = 1211315792 and 1211315801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817164 + ... + 818644.

Almost surely, 2^1211315824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211315824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

1211315824 is an abundant number, since it is smaller than the sum of its proper divisors (1382018192).

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

1211315824 is a wasteful number, since it uses less digits than its factorization.

1211315824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 1211315824 is about 34803.9627628809. The cubic root of 1211315824 is about 1065.9883626748.

Adding to 1211315824 its reverse (4285131121), we get a palindrome (5496446945).

The spelling of 1211315824 in words is "one billion, two hundred eleven million, three hundred fifteen thousand, eight hundred twenty-four".