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12202022122220 = 2257101973988607
BaseRepresentation
bin1011000110010000000100…
…1100011011001011101100
31121012111112220100020111102
42301210001030123023230
53044404220130402340
641541310453142232
72366365324506410
oct261440114331354
947174486306442
1012202022122220
113984937422397
121450a0062a978
136a6851930488
1430281c476d40
15162608b77215
hexb190131b2ec

12202022122220 has 96 divisors (see below), whose sum is σ = 29578172682240. Its totient is φ = 4141657094400.

The previous prime is 12202022122153. The next prime is 12202022122223. The reversal of 12202022122220 is 2222122020221.

It is a super-2 number, since 2×122020221222202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12202022122192 and 12202022122201.

It is not an unprimeable number, because it can be changed into a prime (12202022122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137665157 + ... + 137753763.

It is an arithmetic number, because the mean of its divisors is an integer number (308105965440).

Almost surely, 212202022122220 is an apocalyptic number.

12202022122220 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 12202022122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789086341120).

12202022122220 is an abundant number, since it is smaller than the sum of its proper divisors (17376150560020).

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

12202022122220 is a wasteful number, since it uses less digits than its factorization.

12202022122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98463 (or 98461 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12202022122220 its reverse (2222122020221), we get a palindrome (14424144142441).

The spelling of 12202022122220 in words is "twelve trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 9739 14140 19478 38956 48695 68173 88607 97390 136346 177214 194780 272692 340865 354428 443035 620249 681730 886070 983639 1240498 1363460 1772140 1967278 2480996 3101245 3934556 4918195 6202490 6885473 8949307 9836390 12404980 13770946 17898614 19672780 27541892 34427365 35797228 44746535 62645149 68854730 89493070 125290298 137709460 178986140 250580596 313225745 626451490 862943573 1252902980 1725887146 3451774292 4314717865 6040605011 8629435730 12081210022 17258871460 24162420044 30203025055 60406050110 87157300873 120812100220 174314601746 348629203492 435786504365 610101106111 871573008730 1220202212222 1743146017460 2440404424444 3050505530555 6101011061110 12202022122220