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12141223432101 = 3217297138540263
BaseRepresentation
bin1011000010101101100101…
…0011110100111110100101
31120222200121201212202212200
42300223121103310332211
53042410211144311401
641453333454205113
72362113556252161
oct260533123647645
946880551782780
1012141223432101
113961078119655
1214410731b3799
136a0bb288b6aa
142dd8d18b9ca1
15160c4b25a686
hexb0ad94f4fa5

12141223432101 has 48 divisors (see below), whose sum is σ = 19479791036160. Its totient is φ = 7251735697920.

The previous prime is 12141223432081. The next prime is 12141223432139. The reversal of 12141223432101 is 10123432214121.

12141223432101 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 223 + 432 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 12141223432101 - 217 = 12141223301029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141223432501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18955105 + ... + 19585158.

It is an arithmetic number, because the mean of its divisors is an integer number (405828979920).

Almost surely, 212141223432101 is an apocalyptic number.

It is an amenable number.

12141223432101 is a deficient number, since it is larger than the sum of its proper divisors (7338567604059).

12141223432101 is a wasteful number, since it uses less digits than its factorization.

12141223432101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38540386 (or 38540383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12141223432101 its reverse (10123432214121), we get a palindrome (22264655646222).

The spelling of 12141223432101 in words is "twelve trillion, one hundred forty-one billion, two hundred twenty-three million, four hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 17 29 51 71 87 153 213 261 493 639 1207 1479 2059 3621 4437 6177 10863 18531 35003 105009 315027 38540263 115620789 346862367 655184471 1117667627 1965553413 2736358673 3353002881 5896660239 8209076019 10059008643 19000349659 24627228057 46518097441 57001048977 79354401517 139554292323 171003146931 238063204551 418662876969 714189613653 1349024825789 4047074477367 12141223432101