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111212110012120 = 2351310120359104009
BaseRepresentation
bin11001010010010110010110…
…010011111101111011011000
3112120202202220011101020200221
4121102112112103331323120
5104034044400130341440
61032310045452005424
732265544521601435
oct3122262623757330
9476682804336627
10111212110012120
1132487877898667
121058179a760874
134a0934575b6c0
141d669a2922b8c
15cccd3764ed4a
hex6525964fded8

111212110012120 has 128 divisors (see below), whose sum is σ = 272159555472000. Its totient is φ = 40653981388800.

The previous prime is 111212110012051. The next prime is 111212110012123. The reversal of 111212110012120 is 21210011212111.

It is a junction number, because it is equal to n+sod(n) for n = 111212110012094 and 111212110012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212110012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069202676 + ... + 1069306684.

It is an arithmetic number, because the mean of its divisors is an integer number (2126246527125).

Almost surely, 2111212110012120 is an apocalyptic number.

111212110012120 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 111212110012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136079777736000).

111212110012120 is an abundant number, since it is smaller than the sum of its proper divisors (160947445459880).

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

111212110012120 is a wasteful number, since it uses less digits than its factorization.

111212110012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124493 (or 124489 counting only the distinct ones).

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

Adding to 111212110012120 its reverse (21210011212111), we get a palindrome (132422121224231).

The spelling of 111212110012120 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 20359 26260 40718 52520 81436 101795 104009 162872 203590 208018 264667 407180 416036 520045 529334 814360 832072 1040090 1058668 1323335 1352117 2056259 2080180 2117336 2646670 2704234 4112518 4160360 5293340 5408468 6760585 8225036 10281295 10504909 10586680 10816936 13521170 16450072 20562590 21009818 26731367 27042340 41125180 42019636 52524545 53462734 54084680 82250360 84039272 105049090 106925468 133656835 136563817 210098180 213850936 267313670 273127634 420196360 534627340 546255268 682819085 1069254680 1092510536 1365638170 2117519231 2731276340 4235038462 5462552680 8470076924 10587596155 16940153848 21175192310 27527750003 42350384620 55055500006 84700769240 110111000012 137638750015 213869442331 220222000024 275277500030 427738884662 550555000060 855477769324 1069347211655 1101110000120 1710955538648 2138694423310 2780302750303 4277388846620 5560605500606 8554777693240 11121211001212 13901513751515 22242422002424 27803027503030 55606055006060 111212110012120