Search a number
-
+
12221011210122 = 23211138953346827
BaseRepresentation
bin1011000111010110110100…
…0010000010111110001010
31121021022120021122212001100
42301311231002002332022
53100212112332210442
641554131031202230
72400640023213621
oct261655502027612
947238507585040
1012221011210122
1139919a1255170
12145461bb16376
136a8589a4a170
143037003b06b8
15162d6aca884c
hexb1d6d082f8a

12221011210122 has 96 divisors (see below), whose sum is σ = 31457557535040. Its totient is φ = 3380054895360.

The previous prime is 12221011210117. The next prime is 12221011210129. The reversal of 12221011210122 is 22101211012221.

12221011210122 is a `hidden beast` number, since 122 + 210 + 1 + 1 + 210 + 122 = 666.

It is a super-2 number, since 2×122210112101222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12221011210095 and 12221011210104.

It is not an unprimeable number, because it can be changed into a prime (12221011210129) 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, 26444328 + ... + 26902499.

It is an arithmetic number, because the mean of its divisors is an integer number (327682890990).

Almost surely, 212221011210122 is an apocalyptic number.

12221011210122 is an abundant number, since it is smaller than the sum of its proper divisors (19236546324918).

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

12221011210122 is a wasteful number, since it uses less digits than its factorization.

12221011210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53346948 (or 53346945 counting only the distinct ones).

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

Adding to 12221011210122 its reverse (22101211012221), we get a palindrome (34322222222343).

The spelling of 12221011210122 in words is "twelve trillion, two hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 89 99 117 143 178 198 234 267 286 429 534 801 858 979 1157 1287 1602 1958 2314 2574 2937 3471 5874 6942 8811 10413 12727 17622 20826 25454 38181 76362 114543 229086 53346827 106693654 160040481 320080962 480121443 586815097 693508751 960242886 1173630194 1387017502 1760445291 2080526253 3520890582 4161052506 4747867603 5281335873 6241578759 7628596261 9495735206 10562671746 12483157518 14243602809 15257192522 22885788783 28487205618 42730808427 45771577566 52226543633 61722278839 68657366349 85461616854 104453087266 123444557678 137314732698 156679630899 185166836517 313359261798 370333673034 470038892697 555500509551 678945067229 940077785394 1111001019102 1357890134458 2036835201687 4073670403374 6110505605061 12221011210122