Search a number
-
+
12210211003122 = 232111711251322417
BaseRepresentation
bin1011000110101110100101…
…0010100001101011110010
31121020021200121011111021200
42301223221102201223302
53100023003004044442
641545143221232030
72400105261033636
oct261535122415362
947207617144250
1012210211003122
113988359878860
121452506b62616
136a7558336832
14302d97c6adc6
15162937a3234c
hexb1ae94a1af2

12210211003122 has 96 divisors (see below), whose sum is σ = 30560985958464. Its totient is φ = 3482092800000.

The previous prime is 12210211003117. The next prime is 12210211003259. The reversal of 12210211003122 is 22130011201221.

12210211003122 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 junction number, because it is equal to n+sod(n) for n = 12210211003095 and 12210211003104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37709658 + ... + 38032074.

It is an arithmetic number, because the mean of its divisors is an integer number (318343603734).

Almost surely, 212210211003122 is an apocalyptic number.

12210211003122 is an abundant number, since it is smaller than the sum of its proper divisors (18350774955342).

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

12210211003122 is a wasteful number, since it uses less digits than its factorization.

12210211003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333704 (or 333701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12210211003122 its reverse (22130011201221), we get a palindrome (34340222204343).

The spelling of 12210211003122 in words is "twelve trillion, two hundred ten billion, two hundred eleven million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 11251 22502 33753 67506 101259 123761 191267 202518 247522 322417 371283 382534 573801 644834 742566 967251 1113849 1147602 1721403 1934502 2103937 2227698 2901753 3442806 3546587 4207874 5481089 5803506 6311811 7093174 10639761 10962178 12623622 16443267 18935433 21279522 31919283 32886534 37870866 49329801 60291979 63838566 98659602 120583958 180875937 361751874 542627811 1085255622 3627513667 7255027334 10882541001 21765082002 32647623003 39902650337 61667732339 65295246006 79805300674 119707951011 123335464678 185003197017 239415902022 359123853033 370006394034 555009591051 678345055729 718247706066 1110019182102 1356690111458 2035035167187 4070070334374 6105105501561 12210211003122