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12020112111100 = 225217109331195977
BaseRepresentation
bin1010111011101010011010…
…0000110011010111111100
31120120010000021120012120011
42232322212200303113330
53033414142200023400
641321544022233004
72350265404102642
oct256724640632774
946503007505504
1012020112111100
113914778a17625
1214216b3285764
1369265138b742
142d7ac2b29192
1515ca0d9348ba
hexaeea68335fc

12020112111100 has 144 divisors (see below), whose sum is σ = 27955697283360. Its totient is φ = 4470134169600.

The previous prime is 12020112111097. The next prime is 12020112111113. The reversal of 12020112111100 is 111121102021.

It is a happy number.

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, 61236312 + ... + 61432288.

It is an arithmetic number, because the mean of its divisors is an integer number (194136786690).

Almost surely, 212020112111100 is an apocalyptic number.

12020112111100 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 12020112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977848641680).

12020112111100 is an abundant number, since it is smaller than the sum of its proper divisors (15935585172260).

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

12020112111100 is a wasteful number, since it uses less digits than its factorization.

12020112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196448 (or 196441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12020112111100 its reverse (111121102021), we get a palindrome (12131233213121).

The spelling of 12020112111100 in words is "twelve trillion, twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 331 340 425 436 545 662 850 1090 1324 1655 1700 1853 2180 2725 3310 3706 5450 5627 6620 7412 8275 9265 10900 11254 16550 18530 22508 28135 33100 36079 37060 46325 56270 72158 92650 112540 140675 144316 180395 185300 195977 281350 360790 391954 562700 613343 721580 783908 901975 979885 1226686 1803950 1959770 2453372 3066715 3331609 3607900 3919540 4899425 6133430 6663218 9798850 12266860 13326436 15333575 16658045 19597700 21361493 30667150 33316090 42722986 61334300 64868387 66632180 83290225 85445972 106807465 129736774 166580450 213614930 259473548 324341935 333160900 363145381 427229860 534037325 648683870 726290762 1068074650 1102762579 1297367740 1452581524 1621709675 1815726905 2136149300 2205525158 3243419350 3631453810 4411050316 5513812895 6486838700 7070654183 7262907620 9078634525 11027625790 14141308366 18157269050 22055251580 27569064475 28282616732 35353270915 36314538100 55138128950 70706541830 110276257900 120201121111 141413083660 176766354575 240402242222 353532709150 480804484444 601005605555 707065418300 1202011211110 2404022422220 3005028027775 6010056055550 12020112111100