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12211220202198 = 234181167919013
BaseRepresentation
bin1011000110110010010101…
…1100010100001011010110
31121020101021221011010011020
42301230211130110023112
53100032034332432243
641545431312022010
72400142264060203
oct261544534241326
947211257133136
1012211220202198
113988827504a86
121452748b31906
136a7689444b54
14303051cd0caa
1516299642e283
hexb1b257142d6

12211220202198 has 64 divisors (see below), whose sum is σ = 25055426317824. Its totient is φ = 3965207904000.

The previous prime is 12211220202191. The next prime is 12211220202199. The reversal of 12211220202198 is 89120202211221.

It is a super-2 number, since 2×122112202021982 (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 (12211220202191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354840740 + ... + 1354849752.

It is an arithmetic number, because the mean of its divisors is an integer number (391491036216).

Almost surely, 212211220202198 is an apocalyptic number.

12211220202198 is an abundant number, since it is smaller than the sum of its proper divisors (12844206115626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211220202198 is a wasteful number, since it uses less digits than its factorization.

12211220202198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16661.

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 12211220202198 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, two hundred two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 41 82 123 246 811 1622 2433 4866 6791 9013 13582 18026 20373 27039 33251 40746 54078 66502 99753 199506 278431 369533 556862 739066 835293 1108599 1670586 2217198 5507501 7309543 11015002 14619086 16522503 21928629 33045006 43857258 61207283 122414566 183621849 225807541 299691263 367243698 451615082 599382526 677422623 899073789 1354845246 1798147578 2509498603 5018997206 7528495809 15056991618 49639106513 99278213026 148917319539 297834639078 2035203367033 4070406734066 6105610101099 12211220202198