Search a number
-
+
12222100221100 = 22527111587285743
BaseRepresentation
bin1011000111011010110111…
…1100010010110010101100
31121021102101011211100021021
42301312231330102302230
53100221330124033400
641554431052343524
72401006015521010
oct261665574226254
947242334740237
1012222100221100
1139923aaa44240
121454884774ba4
136a8701551063
143037a4c8c540
15162dd16bd71a
hexb1dadf12cac

12222100221100 has 72 divisors (see below), whose sum is σ = 33066336619008. Its totient is φ = 3809485780800.

The previous prime is 12222100221061. The next prime is 12222100221103. The reversal of 12222100221100 is 112200122221.

It is a happy number.

It is a super-2 number, since 2×122221002211002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12222100221103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793635172 + ... + 793650571.

It is an arithmetic number, because the mean of its divisors is an integer number (459254675264).

Almost surely, 212222100221100 is an apocalyptic number.

12222100221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222100221100 is an abundant number, since it is smaller than the sum of its proper divisors (20844236397908).

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

12222100221100 is a wasteful number, since it uses less digits than its factorization.

12222100221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587285775 (or 1587285768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222100221100 its reverse (112200122221), we get a palindrome (12334300343321).

The spelling of 12222100221100 in words is "twelve trillion, two hundred twenty-two billion, one hundred million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1587285743 3174571486 6349142972 7936428715 11111000201 15872857430 17460143173 22222000402 31745714860 34920286346 39682143575 44444000804 55555001005 69840572692 79364287150 87300715865 111110002010 122221002211 158728574300 174601431730 222220004020 244442004422 277775005025 349202863460 436503579325 488884008844 555550010050 611105011055 873007158650 1111100020100 1222210022110 1746014317300 2444420044220 3055525055275 6111050110550 12222100221100