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2220001211120 = 245711678153147
BaseRepresentation
bin100000010011100010011…
…000100011001011110000
321212020012200221100001112
4200103202120203023300
5242333030302223440
64415504322252452
7316250461641650
oct40234230431360
97766180840045
102220001211120
11786551898a30
122ba301ab7128
131314645934c4
147963d090360
153cb3235b965
hex204e26232f0

2220001211120 has 160 divisors (see below), whose sum is σ = 6436190486016. Its totient is φ = 691833369600.

The previous prime is 2220001211081. The next prime is 2220001211173. The reversal of 2220001211120 is 211121000222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220001211095 and 2220001211104.

It is a congruent number.

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, 41744387 + ... + 41797533.

Almost surely, 22220001211120 is an apocalyptic number.

2220001211120 is a gapful number since it is divisible by the number (20) 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 2220001211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218095243008).

2220001211120 is an abundant number, since it is smaller than the sum of its proper divisors (4216189274896).

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

2220001211120 is a wasteful number, since it uses less digits than its factorization.

2220001211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59959 (or 59953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2220001211120 its reverse (211121000222), we get a palindrome (2431122211342).

The spelling of 2220001211120 in words is "two trillion, two hundred twenty billion, one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 6781 13562 27124 33905 47467 53147 54248 67810 74591 94934 106294 108496 135620 149182 189868 212588 237335 265735 271240 298364 372029 372955 379736 425176 474670 522137 531470 542480 584617 596728 744058 745910 759472 850352 949340 1044274 1062940 1169234 1193456 1488116 1491820 1860145 1898680 2088548 2125880 2338468 2610685 2923085 2976232 2983640 3720290 3797360 4092319 4177096 4251760 4676936 5221370 5846170 5952464 5967280 7440580 8184638 8354192 9353872 10442740 11692340 14881160 16369276 20461595 20885480 23384680 29762320 32738552 40923190 41770960 46769360 65477104 81846380 163692760 327385520 360389807 720779614 1441559228 1801949035 2522728649 2883118456 3603898070 3964287877 5045457298 5766236912 7207796140 7928575754 10090914596 12613643245 14415592280 15857151508 19821439385 20181829192 25227286490 27750015139 28831184560 31714303016 39642878770 40363658384 50454572980 55500030278 63428606032 79285757540 100909145960 111000060556 138750075695 158571515080 201818291920 222000121112 277500151390 317143030160 444000242224 555000302780 1110000605560 2220001211120