12221325100511 has 12 divisors (see below), whose sum is σ = 12898699203312. Its totient is φ = 11577835013184.

The previous prime is 12221325100463. The next prime is 12221325100553. The reversal of 12221325100511 is 11500152312221.

It is not a de Polignac number, because 12221325100511 - 2¹⁴ = 12221325084127 is a prime.

It is a super-3 number, since 3×12221325100511³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221325100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16604270 + ... + 17324676.

It is an arithmetic number, because the mean of its divisors is an integer number (1074891600276).

Almost surely, 2^{12221325100511} is an apocalyptic number.

12221325100511 is a deficient number, since it is larger than the sum of its proper divisors (677374102801).

12221325100511 is an equidigital number, since it uses as much as digits as its factorization.

12221325100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767438 (or 767419 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 12221325100511 its reverse (11500152312221), we get a palindrome (23721477412732).

The spelling of 12221325100511 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-five million, one hundred thousand, five hundred eleven".