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12200210220 = 22351118679901
BaseRepresentation
bin10110101110011000…
…00110111100101100
31011111020211220010210
423113030012330230
5144441223211340
65334340502420
7611222035002
oct132714067454
934436756123
1012200210220
1151a0778570
1224459aaa10
1311c5793703
1483a456a72
154b611c180
hex2d7306f2c

12200210220 has 96 divisors (see below), whose sum is σ = 37289822976. Its totient is φ = 2955744000.

The previous prime is 12200210219. The next prime is 12200210233. The reversal of 12200210220 is 2201200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200210196 and 12200210205.

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, 1227270 + ... + 1237170.

It is an arithmetic number, because the mean of its divisors is an integer number (388435656).

Almost surely, 212200210220 is an apocalyptic number.

12200210220 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 12200210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644911488).

12200210220 is an abundant number, since it is smaller than the sum of its proper divisors (25089612756).

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

12200210220 is a wasteful number, since it uses less digits than its factorization.

12200210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200210220 its reverse (2201200221), we get a palindrome (14401410441).

Subtracting from 12200210220 its reverse (2201200221), we obtain a palindrome (9999009999).

The spelling of 12200210220 in words is "twelve billion, two hundred million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1867 3734 5601 7468 9335 9901 11202 18670 19802 20537 22404 28005 29703 37340 39604 41074 49505 56010 59406 61611 82148 99010 102685 108911 112020 118812 123222 148515 198020 205370 217822 246444 297030 308055 326733 410740 435644 544555 594060 616110 653466 1089110 1232220 1306932 1633665 2178220 3267330 6534660 18485167 36970334 55455501 73940668 92425835 110911002 184851670 203336837 221822004 277277505 369703340 406673674 554555010 610010511 813347348 1016684185 1109110020 1220021022 2033368370 2440042044 3050052555 4066736740 6100105110 12200210220