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12011100222100 = 22527127877154057
BaseRepresentation
bin1010111011001000110101…
…0111001011001010010100
31120112020202020002210220111
42232302031113023022110
53033242213124101400
641313453454212404
72346526155234040
oct256621527131224
946466666083814
1012011100222100
113910973a45a81
12141b9b91b4104
13691846307b45
142d74a9cdb020
1515c6826aa3ba
hexaec8d5cb294

12011100222100 has 144 divisors (see below), whose sum is σ = 30056503816192. Its totient is φ = 4080980413440.

The previous prime is 12011100222097. The next prime is 12011100222109. The reversal of 12011100222100 is 122200111021.

12011100222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100222109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77888272 + ... + 78042328.

Almost surely, 212011100222100 is an apocalyptic number.

12011100222100 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 12011100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028251908096).

12011100222100 is an abundant number, since it is smaller than the sum of its proper divisors (18045403594092).

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

12011100222100 is a wasteful number, since it uses less digits than its factorization.

12011100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155082 (or 155075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011100222100 its reverse (122200111021), we get a palindrome (12133300333121).

The spelling of 12011100222100 in words is "twelve trillion, eleven billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 877 889 1270 1754 1778 2540 3175 3508 3556 4385 4445 6139 6350 8770 8890 12278 12700 17540 17780 21925 22225 24556 30695 43850 44450 61390 87700 88900 111379 122780 153475 154057 222758 306950 308114 445516 556895 613900 616228 770285 779653 1078399 1113790 1540570 1559306 2156798 2227580 2784475 3081140 3118612 3851425 3898265 4313596 5391995 5568950 7702850 7796530 10783990 11137900 15405700 15593060 19491325 19565239 21567980 26959975 38982650 39130478 53919950 77965300 78260956 97826195 107839900 135107989 136956673 195652390 270215978 273913346 391304780 489130975 540431956 547826692 675539945 684783365 945755923 978261950 1351079890 1369566730 1891511846 1956523900 2702159780 2739133460 3377699725 3423916825 3783023692 4728779615 6755399450 6847833650 9457559230 13510798900 13695667300 17158714603 18915118460 23643898075 34317429206 47287796150 68634858412 85793573015 94575592300 120111002221 171587146030 240222004442 343174292060 428967865075 480444008884 600555011105 857935730150 1201110022210 1715871460300 2402220044420 3002775055525 6005550111050 12011100222100