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120111112212 = 223721337424679
BaseRepresentation
bin110111111011100101…
…1100010000000010100
3102111000202020200210120
41233313023202000110
53431441421042322
6131102301551540
711451315415500
oct1576713420024
9374022220716
10120111112212
1146a366563a3
121b340b755b0
13b43221ba40
145b55dcb300
1531ceb02a5c
hex1bf72e2014

120111112212 has 144 divisors (see below), whose sum is σ = 360583896960. Its totient is φ = 30821430528.

The previous prime is 120111112201. The next prime is 120111112223. The reversal of 120111112212 is 212211111021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120111112201) and next prime (120111112223).

It is a junction number, because it is equal to n+sod(n) for n = 120111112191 and 120111112200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70489 + ... + 495167.

It is an arithmetic number, because the mean of its divisors is an integer number (2504054840).

Almost surely, 2120111112212 is an apocalyptic number.

120111112212 is a gapful number since it is divisible by the number (12) 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 120111112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180291948480).

120111112212 is an abundant number, since it is smaller than the sum of its proper divisors (240472784748).

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

120111112212 is a wasteful number, since it uses less digits than its factorization.

120111112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424750 (or 424741 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120111112212 its reverse (212211111021), we get a palindrome (332322223233).

The spelling of 120111112212 in words is "one hundred twenty billion, one hundred eleven million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 364 444 481 518 546 588 637 777 962 1036 1092 1274 1443 1554 1813 1911 1924 2548 2886 3108 3367 3626 3822 5439 5772 6734 7252 7644 10101 10878 13468 20202 21756 23569 40404 47138 70707 94276 141414 282828 424679 849358 1274037 1698716 2548074 2972753 5096148 5520827 5945506 8918259 11041654 11891012 15713123 16562481 17836518 20809271 22083308 31426246 33124962 35673036 38645789 41618542 47139369 62427813 62852492 66249924 77291578 83237084 94278738 109991861 115937367 124855626 154583156 188557476 204270599 219983722 231874734 249711252 270520523 329975583 408541198 439967444 463749468 541041046 612811797 659951166 769943027 811561569 817082396 1082082092 1225623594 1319902332 1429894193 1539886054 1623123138 2309829081 2451247188 2859788386 3079772108 3246246276 4289682579 4619658162 5719576772 8579365158 9239316324 10009259351 17158730316 20018518702 30027778053 40037037404 60055556106 120111112212