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12271941 = 3211259191
BaseRepresentation
bin101110110100…
…000101000101
3212002110221100
4232310011011
511120200231
61115010313
7206211153
oct56640505
925073840
1012271941
116a22100
124139999
132708a06
1418b63d3
1511261e6
hexbb4145

12271941 has 36 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 7273200.

The previous prime is 12271879. The next prime is 12271951. The reversal of 12271941 is 14917221.

12271941 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12271941 - 29 = 12271429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64156 + ... + 64346.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 212271941 is an apocalyptic number.

12271941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12271941 is a deficient number, since it is larger than the sum of its proper divisors (7646139).

12271941 is a wasteful number, since it uses less digits than its factorization.

12271941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12271941 is about 3503.1330263066. The cubic root of 12271941 is about 230.6593618794.

It can be divided in two parts, 122719 and 41, that added together give a triangular number (122760 = T495).

The spelling of 12271941 in words is "twelve million, two hundred seventy-one thousand, nine hundred forty-one".

Divisors: 1 3 9 11 33 59 99 121 177 191 363 531 573 649 1089 1719 1947 2101 5841 6303 7139 11269 18909 21417 23111 33807 64251 69333 101421 123959 207999 371877 1115631 1363549 4090647 12271941