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2122112201220 = 22325114324924973
BaseRepresentation
bin11110111000010111101…
…111100111001000000100
321111212112122111101211100
4132320113233213020010
5234232041210414340
64302515045140100
7306213630042354
oct36702757471004
97455478441740
102122112201220
11748a8a017a50
122a33430ba630
1312516421c03b
14749d453ab64
153a30360a830
hex1ee17be7204

2122112201220 has 144 divisors (see below), whose sum is σ = 7185570904512. Its totient is φ = 502487435520.

The previous prime is 2122112201189. The next prime is 2122112201233. The reversal of 2122112201220 is 221022112212.

It is a happy number.

2122112201220 is a `hidden beast` number, since 2 + 1 + 221 + 1 + 220 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122112201193 and 2122112201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12377347 + ... + 12547626.

It is an arithmetic number, because the mean of its divisors is an integer number (49899797948).

Almost surely, 22122112201220 is an apocalyptic number.

2122112201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112201220 is an abundant number, since it is smaller than the sum of its proper divisors (5063458703292).

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

2122112201220 is a wasteful number, since it uses less digits than its factorization.

2122112201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24925042 (or 24925037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122112201220 its reverse (221022112212), we get a palindrome (2343134313432).

The spelling of 2122112201220 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 24924973 49849946 74774919 99699892 124624865 149549838 224324757 249249730 274174703 299099676 373874595 448649514 498499460 548349406 747749190 822524109 897299028 1071773839 1096698812 1121623785 1370873515 1495498380 1645048218 2143547678 2243247570 2467572327 2741747030 3215321517 3290096436 4112620545 4287095356 4486495140 4935144654 5358869195 5483494060 6430643034 8225241090 9645964551 9870289308 10717738390 11789512229 12337861635 12861286068 16076607585 16450482180 19291929102 21435476780 23579024458 24675723270 32153215170 35368536687 38583858204 47158048916 48229822755 49351446540 58947561145 64306430340 70737073374 96459645510 106105610061 117895122290 141474146748 176842683435 192919291020 212211220122 235790244580 353685366870 424422440244 530528050305 707370733740 1061056100610 2122112201220