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12022202220 = 22357251114041
BaseRepresentation
bin10110011001001010…
…00011111101101100
31011000211220011001220
423030211003331230
5144110140432340
65304541303340
7603631014150
oct131445037554
934024804056
1012022202220
11510a246516
1223b6264b50
131197939432
1482095b060
154a56a8ed0
hex2cc943f6c

12022202220 has 96 divisors (see below), whose sum is σ = 38624656896. Its totient is φ = 2736960000.

The previous prime is 12022202219. The next prime is 12022202221. The reversal of 12022202220 is 2220222021.

It is an interprime number because it is at equal distance from previous prime (12022202219) and next prime (12022202221).

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 12022202220.

It is not an unprimeable number, because it can be changed into a prime (12022202221) 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, 48400 + ... + 162440.

It is an arithmetic number, because the mean of its divisors is an integer number (402340176).

Almost surely, 212022202220 is an apocalyptic number.

12022202220 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 12022202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312328448).

12022202220 is an abundant number, since it is smaller than the sum of its proper divisors (26602454676).

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

12022202220 is a wasteful number, since it uses less digits than its factorization.

12022202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114311 (or 114309 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12022202220 its reverse (2220222021), we get a palindrome (14242424241).

The spelling of 12022202220 in words is "twelve billion, twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 10542 15060 17570 21084 26355 35140 52710 105420 114041 228082 342123 456164 570205 684246 798287 1140410 1368492 1596574 1710615 2280820 2394861 3193148 3421230 3991435 4789722 6842460 7982870 9579444 11974305 15965740 23948610 28624291 47897220 57248582 85872873 114497164 143121455 171745746 200370037 286242910 343491492 400740074 429364365 572485820 601110111 801480148 858728730 1001850185 1202220222 1717457460 2003700370 2404440444 3005550555 4007400740 6011101110 12022202220