Search a number
-
+
12101212220121 = 3237671487364753
BaseRepresentation
bin1011000000011000100001…
…1101001010101011011001
31120211212100021201121102200
42300012020131022223121
53041231240312020441
641423115315120413
72356166214463323
oct260061035125331
946755307647380
1012101212220121
113946105902912
1214353675a3109
1369a1a73b1a2b
142db9b7a30613
1515eba87ab7b6
hexb018874aad9

12101212220121 has 48 divisors (see below), whose sum is σ = 18232190755584. Its totient is φ = 7727058104832.

The previous prime is 12101212220117. The next prime is 12101212220143. The reversal of 12101212220121 is 12102221210121.

12101212220121 is a `hidden beast` number, since 1 + 210 + 1 + 212 + 220 + 1 + 21 = 666.

It is not a de Polignac number, because 12101212220121 - 22 = 12101212220117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101212220094 and 12101212220103.

It is not an unprimeable number, because it can be changed into a prime (12101212220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32994081 + ... + 33358833.

It is an arithmetic number, because the mean of its divisors is an integer number (379837307408).

Almost surely, 212101212220121 is an apocalyptic number.

It is an amenable number.

12101212220121 is a deficient number, since it is larger than the sum of its proper divisors (6130978535463).

12101212220121 is a wasteful number, since it uses less digits than its factorization.

12101212220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366350 (or 366347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101212220121 its reverse (12102221210121), we get a palindrome (24203433430242).

The spelling of 12101212220121 in words is "twelve trillion, one hundred one billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 37 67 111 201 333 603 1487 2479 4461 7437 13383 22311 55019 99629 165057 298887 364753 495171 896661 1094259 3282777 3686273 11058819 13495861 24438451 33176457 40487583 73315353 121462749 219946059 542387711 904222687 1627163133 2712668061 4881489399 8138004183 20068345307 36339976637 60205035921 109019929911 180615107763 327059789733 1344579135569 4033737406707 12101212220121