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12101120110112 = 2511653129740591
BaseRepresentation
bin1011000000011000001011…
…1101110010111000100000
31120211212002212101221020212
42300012002331302320200
53041231043222010422
641423102224553252
72356164015532115
oct260060275627040
946755085357225
1012101120110112
113946068910240
121435340782828
1369a1912a1577
142db9a96d490c
1515eba06649e2
hexb0182f72e20

12101120110112 has 96 divisors (see below), whose sum is σ = 26050417392384. Its totient is φ = 5487716044800.

The previous prime is 12101120110111. The next prime is 12101120110147. The reversal of 12101120110112 is 21101102110121.

It is not an unprimeable number, because it can be changed into a prime (12101120110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298102937 + ... + 298143527.

It is an arithmetic number, because the mean of its divisors is an integer number (271358514504).

Almost surely, 212101120110112 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 12101120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025208696192).

12101120110112 is an abundant number, since it is smaller than the sum of its proper divisors (13949297282272).

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

12101120110112 is a wasteful number, since it uses less digits than its factorization.

12101120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42562 (or 42554 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12101120110112 its reverse (21101102110121), we get a palindrome (33202222220233).

Subtracting 12101120110112 from its reverse (21101102110121), we obtain a square (8999982000009 = 29999972).

The spelling of 12101120110112 in words is "twelve trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 653 1297 1306 2594 2612 5188 5224 7183 10376 10448 14267 14366 20752 20896 28534 28732 40591 41504 57068 57464 81182 114136 114928 162364 228272 229856 324728 446501 456544 649456 846941 893002 1298912 1693882 1786004 3387764 3572008 6775528 7144016 9316351 13551056 14288032 18632702 26505923 27102112 37265404 52646527 53011846 74530808 105293054 106023692 149061616 210586108 212047384 291565153 298123232 421172216 424094768 579111797 583130306 842344432 848189536 1158223594 1166260612 1684688864 2316447188 2332521224 4632894376 4665042448 9265788752 9330084896 18531577504 34378182131 68756364262 137512728524 275025457048 378160003441 550050914096 756320006882 1100101828192 1512640013764 3025280027528 6050560055056 12101120110112