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12211066011221 = 711158585272873
BaseRepresentation
bin1011000110110001110001…
…0000000111111001010101
31121020100220012000101220022
42301230130100013321111
53100031230344324341
641545404123114525
72400135412343630
oct261543420077125
947210805011808
1012211066011221
113988758470020
121452705372a45
136a766350949c
14303039634c17
15162987b22e4b
hexb1b1c407e55

12211066011221 has 8 divisors (see below), whose sum is σ = 15224186195904. Its totient is φ = 9515116372320.

The previous prime is 12211066011217. The next prime is 12211066011289.

It is a happy number.

12211066011221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211066011221 - 22 = 12211066011217 is a prime.

It is a super-2 number, since 2×122110660112212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211066011421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79292636360 + ... + 79292636513.

It is an arithmetic number, because the mean of its divisors is an integer number (1903023274488).

Almost surely, 212211066011221 is an apocalyptic number.

12211066011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211066011221 is a deficient number, since it is larger than the sum of its proper divisors (3013120184683).

12211066011221 is a wasteful number, since it uses less digits than its factorization.

12211066011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158585272891.

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 1221106 and 6011221, that added together give a palindrome (7232327).

The spelling of 12211066011221 in words is "twelve trillion, two hundred eleven billion, sixty-six million, eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 77 158585272873 1110096910111 1744438001603 12211066011221