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121221222112120 = 235135332377135851
BaseRepresentation
bin11011100100000000000011…
…111000100001101101111000
3120220012122011101122010211111
4123210000003320201231320
5111342042030330041440
61105452132145010104
734350641613646204
oct3344000370415570
9526178141563744
10121221222112120
11356966a4719239
121171959a023934
13528415c656370
1421d11d1cc7b04
15e033975144ea
hex6e4003e21b78

121221222112120 has 128 divisors (see below), whose sum is σ = 299281836450240. Its totient is φ = 43912423526400.

The previous prime is 121221222112051. The next prime is 121221222112259. The reversal of 121221222112120 is 21211222122121.

It is a junction number, because it is equal to n+sod(n) for n = 121221222112091 and 121221222112100.

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, 892242195 + ... + 892378045.

Almost surely, 2121221222112120 is an apocalyptic number.

121221222112120 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 121221222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149640918225120).

121221222112120 is an abundant number, since it is smaller than the sum of its proper divisors (178060614338120).

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

121221222112120 is a wasteful number, since it uses less digits than its factorization.

121221222112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168305 (or 168301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 121221222112120 its reverse (21211222122121), we get a palindrome (142432444234241).

The spelling of 121221222112120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 27560 32377 64754 129508 135851 161885 259016 271702 323770 420901 543404 647540 679255 841802 1086808 1295080 1358510 1683604 1715981 1766063 2104505 2717020 3367208 3431962 3532126 4209010 5434040 6863924 7064252 7200103 8418020 8579905 8830315 13727848 14128504 14400206 16836040 17159810 17660630 22307753 28800412 34319620 35321260 36000515 44615506 57600824 68639240 70642520 72001030 89231012 93601339 111538765 144002060 178462024 187202678 223077530 288004120 374405356 446155060 468006695 748810712 892310120 936013390 1872026780 3744053560 4398447827 8796895654 17593791308 21992239135 35187582616 43984478270 57179821751 87968956540 114359643502 175937913080 228719287004 233117734831 285899108755 457438574008 466235469662 571798217510 932470939324 1143596435020 1165588674155 1864941878648 2287192870040 2331177348310 3030530552803 4662354696620 6061061105606 9324709393240 12122122211212 15152652764015 24244244422424 30305305528030 60610611056060 121221222112120