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120221013220220 = 225111797867388057
BaseRepresentation
bin11011010101011100100010…
…110010011001101101111100
3120202200000110010010220112102
4123111130202302121231330
5111224200113341021340
61103404434313124232
734215452531436653
oct3325344262315574
9522600403126472
10120221013220220
1135340499897810
121159777a0b9678
135210a4000c163
142198a29c2619a
15dd7357789215
hex6d5722c99b7c

120221013220220 has 96 divisors (see below), whose sum is σ = 276989964007680. Its totient is φ = 43466866583040.

The previous prime is 120221013220213. The next prime is 120221013220223. The reversal of 120221013220220 is 22022310122021.

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 = 120221013220192 and 120221013220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221013220223) 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, 309608432 + ... + 309996488.

It is an arithmetic number, because the mean of its divisors is an integer number (2885312125080).

Almost surely, 2120221013220220 is an apocalyptic number.

120221013220220 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 120221013220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138494982003840).

120221013220220 is an abundant number, since it is smaller than the sum of its proper divisors (156768950787460).

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

120221013220220 is a wasteful number, since it uses less digits than its factorization.

120221013220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396123 (or 396121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120221013220220 its reverse (22022310122021), we get a palindrome (142243323342241).

The spelling of 120221013220220 in words is "one hundred twenty trillion, two hundred twenty-one billion, thirteen million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7867 7876 9845 15734 19690 31468 39335 39380 78670 86537 157340 173074 346148 388057 432685 776114 865370 1408193 1552228 1730740 1940285 2816386 3880570 4268627 5632772 7040965 7761140 8537254 14081930 15490123 17074508 21343135 28163860 30980246 42686270 61960492 69462203 77450615 85372540 138924406 154901230 277848812 309802460 347311015 694622030 764084233 1389244060 1528168466 3052844419 3056336932 3820421165 6105688838 7640842330 12211377676 15264222095 15281684660 30528444190 33581288609 61056888380 67162577218 134325154436 167906443045 335812886090 546459151001 671625772180 1092918302002 2185836604004 2732295755005 5464591510010 6011050661011 10929183020020 12022101322022 24044202644044 30055253305055 60110506610110 120221013220220