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12224211242221 = 1167142311655971
BaseRepresentation
bin1011000111100010101111…
…0001001100110011101101
31121021121211022002022211201
42301320223301030303231
53100240141034222341
641555420343045501
72401112231066356
oct261705361146355
947247738068751
1012224211242221
11399329361a6a0
121455173740891
136a89799ca494
143039253a6d2d
15162ea6bb1331
hexb1e2bc4cced

12224211242221 has 16 divisors (see below), whose sum is σ = 13544052968448. Its totient is φ = 10939360964400.

The previous prime is 12224211242213. The next prime is 12224211242239.

It is a happy number.

12224211242221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12224211242221 - 23 = 12224211242213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12224211242221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224211242921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4779235 + ... + 6876736.

It is an arithmetic number, because the mean of its divisors is an integer number (846503310528).

Almost surely, 212224211242221 is an apocalyptic number.

12224211242221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12224211242221 is a deficient number, since it is larger than the sum of its proper divisors (1319841726227).

12224211242221 is a wasteful number, since it uses less digits than its factorization.

12224211242221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657472.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1222421 and 1242221, that added together give a palindrome (2464642).

The spelling of 12224211242221 in words is "twelve trillion, two hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 11 67 737 1423 15653 95341 1048751 11655971 128215681 780950057 8590450627 16586446733 182450914063 1111291931111 12224211242221