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12221000300220 = 22352383257106367
BaseRepresentation
bin1011000111010110110001…
…1000011011011010111100
31121021022112112010120110220
42301311230120123122330
53100212102034101340
641554130001301340
72400636531404415
oct261655430333274
947238475116426
1012221000300220
113991996083418
121454618334850
136a85876ca3ba
143036dcb7080c
15162d69d50ed0
hexb1d6c61b6bc

12221000300220 has 96 divisors (see below), whose sum is σ = 35707339358208. Its totient is φ = 3117173908992.

The previous prime is 12221000300143. The next prime is 12221000300221. The reversal of 12221000300220 is 2200300012221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221000300220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221000300221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114841477 + ... + 114947843.

It is an arithmetic number, because the mean of its divisors is an integer number (371951451648).

Almost surely, 212221000300220 is an apocalyptic number.

12221000300220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000300220 is an abundant number, since it is smaller than the sum of its proper divisors (23486339057988).

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

12221000300220 is a wasteful number, since it uses less digits than its factorization.

12221000300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189659 (or 189657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12221000300220 its reverse (2200300012221), we get a palindrome (14421300312441).

The spelling of 12221000300220 in words is "twelve trillion, two hundred twenty-one billion, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 83257 106367 166514 212734 249771 319101 333028 416285 425468 499542 531835 638202 832570 999084 1063670 1248855 1276404 1595505 1665140 1914911 2127340 2446441 2497710 3191010 3829822 4892882 4995420 5744733 6382020 7339323 7659644 9574555 9785764 11489466 12232205 14678646 19149110 22978932 24464410 28723665 29357292 36696615 38298220 48928820 57447330 73393230 114894660 146786460 8855797319 17711594638 26567391957 35423189276 44278986595 53134783914 88557973190 106269567828 132836959785 177115946380 203683338337 265673919570 407366676674 531347839140 611050015011 814733353348 1018416691685 1222100030022 2036833383370 2444200060044 3055250075055 4073666766740 6110500150110 12221000300220