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12022021100120 = 2357970116093373
BaseRepresentation
bin1010111011110001100001…
…0011000001001001011000
31120120021221022122220012012
42232330120103001021120
53033432044400200440
641322501254405052
72350363614201413
oct256743023011130
946507838586165
1012022021100120
1139155685522a9
121421b46660788
13692896a1b945
142d7c24492b7a
1515cac131ae65
hexaef184c1258

12022021100120 has 128 divisors (see below), whose sum is σ = 27456208416000. Its totient is φ = 4736812953600.

The previous prime is 12022021100093. The next prime is 12022021100147. The reversal of 12022021100120 is 2100112022021.

It is an interprime number because it is at equal distance from previous prime (12022021100093) and next prime (12022021100147).

It is a junction number, because it is equal to n+sod(n) for n = 12022021100095 and 12022021100104.

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, 3564190754 + ... + 3564194126.

It is an arithmetic number, because the mean of its divisors is an integer number (214501628250).

Almost surely, 212022021100120 is an apocalyptic number.

12022021100120 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 12022021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728104208000).

12022021100120 is an abundant number, since it is smaller than the sum of its proper divisors (15434187315880).

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

12022021100120 is a wasteful number, since it uses less digits than its factorization.

12022021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5769 counting only the distinct ones).

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

Adding to 12022021100120 its reverse (2100112022021), we get a palindrome (14122133122141).

The spelling of 12022021100120 in words is "twelve trillion, twenty-two billion, twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 701 790 1402 1580 1609 2804 3160 3218 3373 3505 5608 6436 6746 7010 8045 12872 13492 14020 16090 16865 26984 28040 32180 33730 55379 64360 67460 110758 127111 134920 221516 254222 266467 276895 443032 508444 532934 553790 635555 1016888 1065868 1107580 1127909 1271110 1332335 2131736 2215160 2255818 2364473 2542220 2664670 4511636 4728946 5084440 5329340 5427157 5639545 9023272 9457892 10658680 10854314 11279090 11822365 18915784 21708628 22558180 23644730 27135785 43417256 45116360 47289460 54271570 89104811 94578920 108543140 178209622 186793367 217086280 356419244 373586734 428745403 445524055 712838488 747173468 857490806 891048110 933966835 1494346936 1714981612 1782096220 1867933670 2143727015 3429963224 3564192440 3735867340 3804437057 4287454030 7471734680 7608874114 8574908060 15217748228 17149816120 19022185285 30435496456 38044370570 76088741140 152177482280 300550527503 601101055006 1202202110012 1502752637515 2404404220024 3005505275030 6011010550060 12022021100120