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12220212200 = 2352710186423
BaseRepresentation
bin10110110000110000…
…11010001111101000
31011112122111002200212
423120120122033220
5200011333242300
65340333320252
7611554042550
oct133030321750
934478432625
1012220212200
115200a9a329
122450636088
1311c99779c1
1483cd82160
154b7c6d935
hex2d861a3e8

12220212200 has 96 divisors (see below), whose sum is σ = 32792722560. Its totient is φ = 4148256000.

The previous prime is 12220212181. The next prime is 12220212217. The reversal of 12220212200 is 221202221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98189 + ... + 184611.

It is an arithmetic number, because the mean of its divisors is an integer number (341590860).

Almost surely, 212220212200 is an apocalyptic number.

12220212200 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 12220212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396361280).

12220212200 is an abundant number, since it is smaller than the sum of its proper divisors (20572510360).

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

12220212200 is a wasteful number, since it uses less digits than its factorization.

12220212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86547 (or 86538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220212200 its reverse (221202221), we get a palindrome (12441414421).

It can be divided in two parts, 1222021 and 2200, that added together give a palindrome (1224221).

The spelling of 12220212200 in words is "twelve billion, two hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 17675 20200 28280 35350 70700 86423 141400 172846 345692 432115 604961 691384 864230 1209922 1728460 2160575 2419844 3024805 3456920 4321150 4839688 6049610 8642300 8728723 12099220 15124025 17284600 17457446 24198440 30248050 34914892 43643615 60496100 61101061 69829784 87287230 120992200 122202122 174574460 218218075 244404244 305505305 349148920 436436150 488808488 611010610 872872300 1222021220 1527526525 1745744600 2444042440 3055053050 6110106100 12220212200