Search a number
-
+
12001121200100 = 22521959107057281
BaseRepresentation
bin1010111010100011101010…
…0100001110011111100100
31120111021222202210222012002
42232220322210032133210
53033111244011400400
641305123341144432
72346023654033324
oct256507244163744
946437882728162
1012001121200100
11390771305a05a
121419a9325b118
13690915a83cb6
142d6c00879284
1515c29b592ed5
hexaea3a90e7e4

12001121200100 has 72 divisors (see below), whose sum is σ = 27877716232800. Its totient is φ = 4470712012800.

The previous prime is 12001121200099. The next prime is 12001121200111. The reversal of 12001121200100 is 100212110021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53416541 + ... + 53640740.

Almost surely, 212001121200100 is an apocalyptic number.

12001121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121200100 is an abundant number, since it is smaller than the sum of its proper divisors (15876595032700).

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

12001121200100 is a wasteful number, since it uses less digits than its factorization.

12001121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107057373 (or 107057366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001121200100 its reverse (100212110021), we get a palindrome (12101333310121).

The spelling of 12001121200100 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 950 1121 1180 1475 1900 2242 2950 4484 5605 5900 11210 22420 28025 56050 112100 107057281 214114562 428229124 535286405 1070572810 2034088339 2141145620 2676432025 4068176678 5352864050 6316379579 8136353356 10170441695 10705728100 12632759158 20340883390 25265518316 31581897895 40681766780 50852208475 63163795790 101704416950 120011212001 126327591580 157909489475 203408833900 240022424002 315818978950 480044848004 600056060005 631637957900 1200112120010 2400224240020 3000280300025 6000560600050 12001121200100