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12122221000120 = 2357113935786039
BaseRepresentation
bin1011000001100110110010…
…1011010011010110111000
31120220212120102110012200121
42300121230223103112320
53042102302034000440
641440512122143024
72360541636246640
oct260315453232670
946825512405617
1012122221000120
113954006802210
12143944b351a74
1369c174a7bcba
142dca0bcab520
151604d7d9034a
hexb066cad35b8

12122221000120 has 64 divisors (see below), whose sum is σ = 34005191385600. Its totient is φ = 3778354596480.

The previous prime is 12122221000037. The next prime is 12122221000177. The reversal of 12122221000120 is 2100012222121.

It is a happy number.

12122221000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12122221000094 and 12122221000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967889940 + ... + 1967896099.

It is an arithmetic number, because the mean of its divisors is an integer number (531331115400).

Almost surely, 212122221000120 is an apocalyptic number.

12122221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122221000120 is an abundant number, since it is smaller than the sum of its proper divisors (21882970385480).

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

12122221000120 is a wasteful number, since it uses less digits than its factorization.

12122221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935786068 (or 3935786064 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122221000120 its reverse (2100012222121), we get a palindrome (14222233222241).

The spelling of 12122221000120 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3935786039 7871572078 15743144156 19678930195 27550502273 31486288312 39357860390 43293646429 55101004546 78715720780 86587292858 110202009092 137752511365 157431441560 173174585716 216468232145 220404018184 275505022730 303055525003 346349171432 432936464290 551010045460 606111050006 865872928580 1102020090920 1212222100012 1515277625015 1731745857160 2424444200024 3030555250030 6061110500060 12122221000120