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2212231012120 = 2354319122330197
BaseRepresentation
bin100000001100010011001…
…111100101111100011000
321211111011011221022212101
4200030103033211330120
5242221122114341440
64412141312053144
7315554101225363
oct40142317457430
97744134838771
102212231012120
11783224808468
122b88b38341b4
131307c683cc0c
14791031250da
153c82a10569a
hex203133e5f18

2212231012120 has 128 divisors (see below), whose sum is σ = 5143072112640. Its totient is φ = 855904412160.

The previous prime is 2212231012091. The next prime is 2212231012141. The reversal of 2212231012120 is 212101322122.

It is a congruent number.

It is an unprimeable number.

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, 73244862 + ... + 73275058.

It is an arithmetic number, because the mean of its divisors is an integer number (40180250880).

Almost surely, 22212231012120 is an apocalyptic number.

2212231012120 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 2212231012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571536056320).

2212231012120 is an abundant number, since it is smaller than the sum of its proper divisors (2930841100520).

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

2212231012120 is a wasteful number, since it uses less digits than its factorization.

2212231012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30665 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2212231012120 its reverse (212101322122), we get a palindrome (2424332334242).

The spelling of 2212231012120 in words is "two trillion, two hundred twelve billion, two hundred thirty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 191 215 223 344 382 430 446 764 860 892 955 1115 1528 1720 1784 1910 2230 3820 4460 7640 8213 8920 9589 16426 19178 30197 32852 38356 41065 42593 47945 60394 65704 76712 82130 85186 95890 120788 150985 164260 170372 191780 212965 241576 301970 328520 340744 383560 425930 603940 851860 1207880 1298471 1703720 1831499 2596942 3662998 5193884 5767627 6492355 6733931 7325996 9157495 10387768 11535254 12984710 13467862 14651992 18314990 23070508 25969420 26935724 28838135 33669655 36629980 46141016 51938840 53871448 57676270 67339310 73259960 115352540 134678620 230705080 248007961 269357240 289559033 496015922 579118066 992031844 1158236132 1240039805 1286180821 1447795165 1984063688 2316472264 2480079610 2572361642 2895590330 4960159220 5144723284 5791180660 6430904105 9920318440 10289446568 11582361320 12861808210 25723616420 51447232840 55305775303 110611550606 221223101212 276528876515 442446202424 553057753030 1106115506060 2212231012120