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12100100001111 = 3441131102127241
BaseRepresentation
bin1011000000010100011000…
…1010011000110101010111
31120211202110202220000210000
42300011012022120311113
53041222001100013421
641422413104302343
72356126520666313
oct260050612306527
946752422800700
1012100100001111
113945695002251
1214350b70119b3
1369a05ab43485
142db910030b43
1515eb40d10226
hexb0146298d57

12100100001111 has 80 divisors (see below), whose sum is σ = 18676628330976. Its totient is φ = 7801971840000.

The previous prime is 12100100001107. The next prime is 12100100001113. The reversal of 12100100001111 is 11110000100121.

It is not a de Polignac number, because 12100100001111 - 22 = 12100100001107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12100100001093 and 12100100001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100100001113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 444173451 + ... + 444200691.

Almost surely, 212100100001111 is an apocalyptic number.

12100100001111 is a deficient number, since it is larger than the sum of its proper divisors (6576528329865).

12100100001111 is a wasteful number, since it uses less digits than its factorization.

12100100001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28446 (or 28437 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100100001111 its reverse (11110000100121), we get a palindrome (23210100101232).

The spelling of 12100100001111 in words is "twelve trillion, one hundred billion, one hundred million, one thousand, one hundred eleven".

Divisors: 1 3 9 27 41 81 123 131 369 393 1021 1107 1179 3063 3321 3537 5371 9189 10611 16113 27241 27567 41861 48339 81723 82701 125583 133751 145017 245169 376749 401253 435051 735507 1116881 1130247 1203759 2206521 3350643 3390741 3568571 3611277 5483791 10051929 10705713 10833831 16451373 27813061 30155787 32117139 49354119 83439183 90467361 96351417 146311411 148062357 250317549 289054251 438934233 444187071 750952647 1140335501 1316802699 2252857941 3421006503 3643510991 3950408097 10263019509 10930532973 11851224291 30789058527 32791598919 92367175581 98374796757 149383950631 295124390271 448151851893 1344455555679 4033366667037 12100100001111