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12101166 = 2327118731
BaseRepresentation
bin101110001010…
…011000101110
3211202210200100
4232022120232
511044214131
61111211530
7204600240
oct56123056
924683610
1012101166
116915870
124076ba6
13267906c
141870090
1510e07e6
hexb8a62e

12101166 has 48 divisors (see below), whose sum is σ = 32692608. Its totient is φ = 3142800.

The previous prime is 12101153. The next prime is 12101171. The reversal of 12101166 is 66110121.

12101166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2980 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (681096).

Almost surely, 212101166 is an apocalyptic number.

12101166 is an abundant number, since it is smaller than the sum of its proper divisors (20591442).

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

12101166 is a wasteful number, since it uses less digits than its factorization.

12101166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12101166 is about 3478.6730228637. The cubic root of 12101166 is about 229.5844165226.

Adding to 12101166 its reverse (66110121), we get a palindrome (78211287).

The spelling of 12101166 in words is "twelve million, one hundred one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 8731 17462 26193 52386 61117 78579 96041 122234 157158 183351 192082 288123 366702 550053 576246 672287 864369 1100106 1344574 1728738 2016861 4033722 6050583 12101166