Search a number
-
+
12220001102112 = 253237039786251
BaseRepresentation
bin1011000111010011000011…
…0100110010100100100000
31121021012221212222001100120
42301310300310302210200
53100203030240231422
641553442505120240
72400603006353406
oct261646064624440
947235855861316
1012220001102112
113991523058061
121454399789080
136a84586b120b
14303646191476
15162d0c27c45c
hexb1d30d32920

12220001102112 has 96 divisors (see below), whose sum is σ = 33476974755840. Its totient is φ = 3895673760000.

The previous prime is 12220001102107. The next prime is 12220001102119. The reversal of 12220001102112 is 21120110002221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12220001102091 and 12220001102100.

It is not an unprimeable number, because it can be changed into a prime (12220001102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15148987 + ... + 15935237.

It is an arithmetic number, because the mean of its divisors is an integer number (348718487040).

Almost surely, 212220001102112 is an apocalyptic number.

12220001102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220001102112 is an abundant number, since it is smaller than the sum of its proper divisors (21256973653728).

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

12220001102112 is a wasteful number, since it uses less digits than its factorization.

12220001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793326 (or 793318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220001102112 its reverse (21120110002221), we get a palindrome (33340111104333).

The spelling of 12220001102112 in words is "twelve trillion, two hundred twenty billion, one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 7039 14078 21117 28156 42234 56312 84468 112624 161897 168936 225248 323794 337872 485691 647588 675744 786251 971382 1295176 1572502 1942764 2358753 2590352 3145004 3885528 4717506 5180704 6290008 7771056 9435012 12580016 15542112 18083773 18870024 25160032 36167546 37740048 54251319 72335092 75480096 108502638 144670184 217005276 289340368 434010552 578680736 868021104 1736042208 5534420789 11068841578 16603262367 22137683156 33206524734 44275366312 66413049468 88550732624 127291678147 132826098936 177101465248 254583356294 265652197872 381875034441 509166712588 531304395744 763750068882 1018333425176 1527500137764 2036666850352 3055000275528 4073333700704 6110000551056 12220001102112