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12207191669145 = 32511175772514119
BaseRepresentation
bin1011000110100011010101…
…0100101011100110011001
31121012222220011202102201100
42301220311110223212121
53100000312031403040
641543523442342013
72366640406104654
oct261506524534631
947188804672640
1012207191669145
11398704a502520
121451a0395a909
136a7196943095
14302b8cc7089b
1516280c91eb30
hexb1a3552b999

12207191669145 has 96 divisors (see below), whose sum is σ = 24482862593280. Its totient is φ = 5560826757120.

The previous prime is 12207191669143. The next prime is 12207191669149. The reversal of 12207191669145 is 54196619170221.

12207191669145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12207191669145 - 21 = 12207191669143 is a prime.

It is a super-2 number, since 2×122071916691452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12207191669091 and 12207191669100.

It is not an unprimeable number, because it can be changed into a prime (12207191669143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598396 + ... + 6112514.

It is an arithmetic number, because the mean of its divisors is an integer number (255029818680).

Almost surely, 212207191669145 is an apocalyptic number.

12207191669145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12207191669145 is an abundant number, since it is smaller than the sum of its proper divisors (12275670924135).

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

12207191669145 is a wasteful number, since it uses less digits than its factorization.

12207191669145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514735 (or 2514732 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12207191669145 in words is "twelve trillion, two hundred seven billion, one hundred ninety-one million, six hundred sixty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 577 765 935 1683 1731 2805 2885 5193 6347 8415 8655 9809 19041 25965 29427 31735 49045 57123 88281 95205 107899 147135 285615 323697 441405 539495 971091 1618485 2514119 4855455 7542357 12570595 22627071 27655309 37711785 42740023 82965927 113135355 128220069 138276545 213700115 248897781 384660207 414829635 470140253 641100345 1244488905 1410420759 1450646663 1923301035 2350701265 4231262277 4351939989 7052103795 7253233315 13055819967 15957113293 21156311385 21759699945 24660993271 47871339879 65279099835 73982979813 79785566465 123304966355 143614019637 221948939439 239356699395 271270925981 369914899065 718070098185 813812777943 1109744697195 1356354629905 2441438333829 4069063889715 12207191669145