1211456516 has 24 divisors (see below), whose sum is σ = 2305431576. Its totient is φ = 554688000.

The previous prime is 1211456509. The next prime is 1211456531. The reversal of 1211456516 is 6156541121.

It can be written as a sum of positive squares in 4 ways, for example, as 767511616 + 443944900 = 27704^2 + 21070^2 .

It is a super-3 number, since 3×1211456516³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238235 + ... + 243266.

It is an arithmetic number, because the mean of its divisors is an integer number (96059649).

Almost surely, 2^1211456516 is an apocalyptic number.

It is an amenable number.

1211456516 is a deficient number, since it is larger than the sum of its proper divisors (1093975060).

1211456516 is a wasteful number, since it uses less digits than its factorization.

1211456516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481559 (or 481557 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 1211456516 is about 34805.9839108163. The cubic root of 1211456516 is about 1066.0296319088.

Adding to 1211456516 its reverse (6156541121), we get a palindrome (7367997637).

The spelling of 1211456516 in words is "one billion, two hundred eleven million, four hundred fifty-six thousand, five hundred sixteen".