Search a number
-
+
12201020202220 = 22559101565718097
BaseRepresentation
bin1011000110001100010101…
…1110011001110011101100
31121012101222002001102122021
42301203011132121303230
53044400142132432340
641541023222355524
72366331440361013
oct261430536316354
947171862042567
1012201020202220
113984472908033
121450780b8bba4
136a67221a03c5
14302765389a7a
1516259ac16e4a
hexb18c5799cec

12201020202220 has 96 divisors (see below), whose sum is σ = 26320506327360. Its totient is φ = 4749085286400.

The previous prime is 12201020202181. The next prime is 12201020202229. The reversal of 12201020202220 is 2220202010221.

It is a junction number, because it is equal to n+sod(n) for n = 12201020202194 and 12201020202203.

It is not an unprimeable number, because it can be changed into a prime (12201020202229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 674192212 + ... + 674210308.

It is an arithmetic number, because the mean of its divisors is an integer number (274171940910).

Almost surely, 212201020202220 is an apocalyptic number.

12201020202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020202220 is an abundant number, since it is smaller than the sum of its proper divisors (14119486125140).

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

12201020202220 is a wasteful number, since it uses less digits than its factorization.

12201020202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23923 (or 23921 counting only the distinct ones).

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

Adding to 12201020202220 its reverse (2220202010221), we get a palindrome (14421222212441).

The spelling of 12201020202220 in words is "twelve trillion, two hundred one billion, twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 59 101 118 202 236 295 404 505 590 1010 1180 2020 5657 5959 11314 11918 18097 22628 23836 28285 29795 36194 56570 59590 72388 90485 113140 119180 180970 333763 361940 571357 667526 1067723 1142714 1335052 1668815 1827797 2135446 2285428 2856785 3337630 3655594 4270892 5338615 5713570 6675260 7311188 9138985 10677230 11427140 18277970 21354460 33710063 36555940 67420126 102374729 107840023 134840252 168550315 204749458 215680046 337100630 409498916 431360092 511873645 539200115 674201260 1023747290 1078400230 2047494580 2156800460 6040109011 10339847629 12080218022 20679695258 24160436044 30200545055 41359390516 51699238145 60401090110 103398476290 120802180220 206796952580 610051010111 1220102020222 2440204040444 3050255050555 6100510101110 12201020202220