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12114311209 = 7211132375169
BaseRepresentation
bin10110100100001000…
…11011100000101001
31011021021012202211221
423102010123200221
5144302230424314
65322031422041
7606126642400
oct132204334051
934237182757
1012114311209
115157238350
122421084921
1311b0a492b0
1482cc96637
154ad800824
hex2d211b829

12114311209 has 48 divisors (see below), whose sum is σ = 17275870080. Its totient is φ = 8334627840.

The previous prime is 12114311191. The next prime is 12114311219. The reversal of 12114311209 is 90211341121.

It is not a de Polignac number, because 12114311209 - 213 = 12114303017 is a prime.

It is a super-3 number, since 3×121143112093 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114311219) 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, 123577 + ... + 198745.

It is an arithmetic number, because the mean of its divisors is an integer number (359913960).

Almost surely, 212114311209 is an apocalyptic number.

It is an amenable number.

12114311209 is a deficient number, since it is larger than the sum of its proper divisors (5161558871).

12114311209 is a wasteful number, since it uses less digits than its factorization.

12114311209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75230 (or 75223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

It can be divided in two parts, 12114 and 311209, that added together give a palindrome (323323).

The spelling of 12114311209 in words is "twelve billion, one hundred fourteen million, three hundred eleven thousand, two hundred nine".

Divisors: 1 7 11 13 23 49 77 91 143 161 253 299 539 637 1001 1127 1771 2093 3289 7007 12397 14651 23023 75169 161161 526183 826859 977197 1728887 3683281 5788013 6840379 10749167 12102209 19017757 22475531 40516091 47882653 75244169 84715463 133124299 157328717 247230841 526709183 931870093 1101301019 1730615887 12114311209