Search a number
-
+
12210222200020 = 225131391339725219
BaseRepresentation
bin1011000110101110100111…
…1101001111010011010100
31121020021201101020100112121
42301223221331033103110
53100023013340400040
641545144301225324
72400105455146645
oct261535175172324
947207641210477
1012210222200020
113988365126199
12145250a862244
136a755a757110
14302d995436cc
151629389e4c4a
hexb1ae9f4f4d4

12210222200020 has 96 divisors (see below), whose sum is σ = 27815727139200. Its totient is φ = 4475443705344.

The previous prime is 12210222199999. The next prime is 12210222200051. The reversal of 12210222200020 is 2000222201221.

It is a super-2 number, since 2×122102222000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210222199967 and 12210222200003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484154971 + ... + 484180189.

It is an arithmetic number, because the mean of its divisors is an integer number (289747157700).

Almost surely, 212210222200020 is an apocalyptic number.

12210222200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210222200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907863569600).

12210222200020 is an abundant number, since it is smaller than the sum of its proper divisors (15605504939180).

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

12210222200020 is a wasteful number, since it uses less digits than its factorization.

12210222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38777 (or 38775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12210222200020 its reverse (2000222201221), we get a palindrome (14210444401241).

The spelling of 12210222200020 in words is "twelve trillion, two hundred ten billion, two hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 13397 18070 25219 26794 36140 50438 53588 66985 100876 126095 133970 174161 252190 267940 327847 348322 504380 655694 696644 870805 1311388 1639235 1741610 1862183 3278470 3483220 3505441 3724366 6556940 7010882 7448732 9310915 14021764 17527205 18621830 24208379 35054410 37243660 45570733 48416758 70108820 91141466 96833516 121041895 182282932 227853665 242083790 337858943 455707330 484167580 675717886 911414660 1351435772 1689294715 3378589430 4392166259 6757178860 8784332518 17568665036 21960831295 43921662590 46962393077 87843325180 93924786154 187849572308 234811965385 469623930770 610511110001 939247861540 1221022220002 2442044440004 3052555550005 6105111100010 12210222200020