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12011100222112 = 2529163691114913
BaseRepresentation
bin1010111011001000110101…
…0111001011001010100000
31120112020202020002210220221
42232302031113023022200
53033242213124101422
641313453454212424
72346526155234055
oct256621527131240
946466666083827
1012011100222112
113910973a45a92
12141b9b91b4114
13691846307b54
142d74a9cdb02c
1515c6826aa3c7
hexaec8d5cb2a0

12011100222112 has 96 divisors (see below), whose sum is σ = 24648170460480. Its totient is φ = 5754498785280.

The previous prime is 12011100222109. The next prime is 12011100222131. The reversal of 12011100222112 is 21122200111021.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 104465968 + ... + 104580880.

It is an arithmetic number, because the mean of its divisors is an integer number (256751775630).

Almost surely, 212011100222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324085230240).

12011100222112 is an abundant number, since it is smaller than the sum of its proper divisors (12637070238368).

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

12011100222112 is a wasteful number, since it uses less digits than its factorization.

12011100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115806 (or 115798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011100222112 its reverse (21122200111021), we get a palindrome (33133300333133).

The spelling of 12011100222112 in words is "twelve trillion, eleven billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 163 232 326 464 652 691 928 1304 1382 2608 2764 4727 5216 5528 9454 11056 18908 20039 22112 37816 40078 75632 80156 112633 114913 151264 160312 225266 229826 320624 450532 459652 641248 901064 919304 1802128 1838608 3266357 3332477 3604256 3677216 6532714 6664954 13065428 13329908 18730819 26130856 26659816 37461638 52261712 53319632 74923276 79404883 104523424 106639264 149846552 158809766 299693104 317619532 543193751 599386208 635239064 1086387502 1270478128 2172775004 2302741607 2540956256 4345550008 4605483214 8691100016 9210966428 12942995929 17382200032 18421932856 25885991858 36843865712 51771983716 73687731424 103543967432 207087934864 375346881941 414175869728 750693763882 1501387527764 3002775055528 6005550111056 12011100222112