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12202664314141 = 761109126194013
BaseRepresentation
bin1011000110010010011101…
…1110001100010100011101
31121012120012122201222012101
42301210213132030110131
53044412024031023031
641541454313405101
72366420253163150
oct261444736142435
947176178658171
1012202664314141
113985136978714
121450b5b709791
136a69249ac4b2
1430287d883c97
1516264522b361
hexb192778c51d

12202664314141 has 16 divisors (see below), whose sum is σ = 14187516190848. Its totient is φ = 10278530308800.

The previous prime is 12202664314081. The next prime is 12202664314163. The reversal of 12202664314141 is 14141346620221.

12202664314141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12202664314141 - 217 = 12202664183069 is a prime.

It is a super-2 number, since 2×122026643141412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12202664314141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202664315141) 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, 12631150 + ... + 13562863.

It is an arithmetic number, because the mean of its divisors is an integer number (886719761928).

Almost surely, 212202664314141 is an apocalyptic number.

It is an amenable number.

12202664314141 is a deficient number, since it is larger than the sum of its proper divisors (1984851876707).

12202664314141 is a wasteful number, since it uses less digits than its factorization.

12202664314141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26195172.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 12202664314141 in words is "twelve trillion, two hundred two billion, six hundred sixty-four million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 7 61 427 1091 7637 66551 465857 26194013 183358091 1597834793 11184843551 28577668183 200043677281 1743237759163 12202664314141