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12200112200112 = 2433111409580031
BaseRepresentation
bin1011000110001000111101…
…0110101001100110110000
31121012022121210111010220120
42301202033112221212300
53044341312210400422
641540353145010240
72366300103443364
oct261421726514660
947168553433816
1012200112200112
11398404730a671
121450568a83980
136a6609034655
143026ba9492a4
1516254615945c
hexb188f5a99b0

12200112200112 has 80 divisors (see below), whose sum is σ = 31640792002560. Its totient is φ = 4050743910400.

The previous prime is 12200112200071. The next prime is 12200112200131. The reversal of 12200112200112 is 21100221100221.

It is a junction number, because it is equal to n+sod(n) for n = 12200112200091 and 12200112200100.

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, 20743537 + ... + 21323567.

It is an arithmetic number, because the mean of its divisors is an integer number (395509900032).

Almost surely, 212200112200112 is an apocalyptic number.

12200112200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200112200112 is an abundant number, since it is smaller than the sum of its proper divisors (19440679802448).

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

12200112200112 is a wasteful number, since it uses less digits than its factorization.

12200112200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581762 (or 581756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200112200112 its reverse (21100221100221), we get a palindrome (33300333300333).

The spelling of 12200112200112 in words is "twelve trillion, two hundred billion, one hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1244 1409 1866 2488 2818 3732 4227 4976 5636 7464 8454 11272 14928 16908 22544 33816 67632 438199 580031 876398 1160062 1314597 1740093 1752796 2320124 2629194 3480186 3505592 4640248 5258388 6960372 7011184 9280496 10516776 13920744 21033552 27841488 180389641 360779282 541168923 721558564 817263679 1082337846 1443117128 1634527358 2164675692 2451791037 2886234256 3269054716 4329351384 4903582074 6538109432 8658702768 9807164148 13076218864 19614328296 39228656592 254169004169 508338008338 762507012507 1016676016676 1525014025014 2033352033352 3050028050028 4066704066704 6100056100056 12200112200112