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12200110112010 = 23537199193328573
BaseRepresentation
bin1011000110001000111100…
…1110101011110100001010
31121012022121122120001120110
42301202033032223310022
53044341311142041020
641540353032135150
72366300046625542
oct261421716536412
947168548501513
1012200110112010
113984046113867
1214505682374b6
136a66087830a2
143026ba564322
15162545d958e0
hexb188f3abd0a

12200110112010 has 128 divisors (see below), whose sum is σ = 30239429875200. Its totient is φ = 3147787754496.

The previous prime is 12200110111991. The next prime is 12200110112077. The reversal of 12200110112010 is 1021101100221.

12200110112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426966084 + ... + 426994656.

It is an arithmetic number, because the mean of its divisors is an integer number (236245545900).

Almost surely, 212200110112010 is an apocalyptic number.

12200110112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200110112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119714937600).

12200110112010 is an abundant number, since it is smaller than the sum of its proper divisors (18039319763190).

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

12200110112010 is a wasteful number, since it uses less digits than its factorization.

12200110112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30752.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200110112010 its reverse (1021101100221), we get a palindrome (13221211212231).

The spelling of 12200110112010 in words is "twelve trillion, two hundred billion, one hundred ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 199 222 370 398 555 597 995 1110 1194 1933 1990 2985 3866 5799 5970 7363 9665 11598 14726 19330 22089 28573 28995 36815 44178 57146 57990 71521 73630 85719 110445 142865 143042 171438 214563 220890 285730 357605 384667 428595 429126 715210 769334 857190 1057201 1072815 1154001 1923335 2114402 2145630 2308002 3171603 3846670 5286005 5686027 5770005 6343206 10572010 11372054 11540010 14232679 15858015 17058081 28430135 28465358 31716030 34116162 42698037 55231609 56860270 71163395 85290405 85396074 110463218 142326790 165694827 170580810 210382999 213490185 276158045 331389654 420765998 426980370 552316090 631148997 828474135 1051914995 1262297994 1656948270 2043569533 2103829990 3155744985 4087139066 6130708599 6311489970 10217847665 10991090191 12261417198 20435695330 21982180382 30653542995 32973270573 54955450955 61307085990 65946541146 109910901910 164866352865 329732705730 406670337067 813340674134 1220011011201 2033351685335 2440022022402 4066703370670 6100055056005 12200110112010