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12211011110121 = 3237331607150239
BaseRepresentation
bin1011000110110001100011…
…1110101100010011101001
31121020100202100201010202020
42301230120332230103221
53100031122321010441
641545354442255053
72400134144604255
oct261543076542351
947210670633666
1012211011110121
11398872a48200a
1214526aaab7489
136a7655026325
14303032223265
15162982dcae66
hexb1b18fac4e9

12211011110121 has 32 divisors (see below), whose sum is σ = 17023110266880. Its totient is φ = 7771217999424.

The previous prime is 12211011110119. The next prime is 12211011110141. The reversal of 12211011110121 is 12101111011221.

It is not a de Polignac number, because 12211011110121 - 21 = 12211011110119 is a prime.

It is a super-3 number, since 3×122110111101213 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211011110121.

It is not an unprimeable number, because it can be changed into a prime (12211011110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81202120 + ... + 81352358.

It is an arithmetic number, because the mean of its divisors is an integer number (531972195840).

Almost surely, 212211011110121 is an apocalyptic number.

It is an amenable number.

12211011110121 is a deficient number, since it is larger than the sum of its proper divisors (4812099156759).

12211011110121 is a wasteful number, since it uses less digits than its factorization.

12211011110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152605.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12211011110121 its reverse (12101111011221), we get a palindrome (24312122121342).

The spelling of 12211011110121 in words is "twelve trillion, two hundred eleven billion, eleven million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 23 69 733 1607 2199 4821 16859 36961 50577 110883 150239 450717 1177931 3455497 3533793 10366491 27092413 81277239 110125187 241434073 330375561 724302219 2532879301 5552983679 7598637903 16658951037 176971175509 530913526527 4070337036707 12211011110121