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121411123411105 = 51123467369155681
BaseRepresentation
bin11011100110110000111010…
…111000011111100010100001
3120220212210022221102122212101
4123212300322320133202201
5111403144440043123410
61110115300004530401
734400443551236203
oct3346607270374241
9526783287378771
10121411123411105
113575a193a90940
121174a3576b0a01
1352990346aa8b8
1421da488ab2773
15e082ae0d0d3a
hex6e6c3ae1f8a1

121411123411105 has 64 divisors (see below), whose sum is σ = 166251705624576. Its totient is φ = 84254708736000.

The previous prime is 121411123411093. The next prime is 121411123411129. The reversal of 121411123411105 is 501114321114121.

It is a happy number.

It is not a de Polignac number, because 121411123411105 - 241 = 119212100155553 is a prime.

It is a super-2 number, since 2×1214111234111052 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180448865 + ... + 2180504545.

It is an arithmetic number, because the mean of its divisors is an integer number (2597682900384).

Almost surely, 2121411123411105 is an apocalyptic number.

It is an amenable number.

121411123411105 is a deficient number, since it is larger than the sum of its proper divisors (44840582213471).

121411123411105 is a wasteful number, since it uses less digits than its factorization.

121411123411105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59878.

The product of its (nonzero) digits is 960, while the sum is 28.

Adding to 121411123411105 its reverse (501114321114121), we get a palindrome (622525444525226).

The spelling of 121411123411105 in words is "one hundred twenty-one trillion, four hundred eleven billion, one hundred twenty-three million, four hundred eleven thousand, one hundred five".

Divisors: 1 5 11 23 55 115 253 467 1265 2335 3691 5137 10741 18455 25685 40601 53705 55681 84893 118151 203005 278405 424465 590755 612491 933823 1280663 1723697 3062455 4669115 6403315 8618485 14087293 18960667 26003027 39645031 70436465 94803335 130015135 198225155 205518571 286033297 436095341 598069621 1027592855 1430166485 2180476705 2260704281 2990348105 4726927133 6578765831 11303521405 23634635665 32893829155 51996198463 95977172657 259980992315 479885863285 1055748899227 2207474971111 5278744496135 11037374855555 24282224682221 121411123411105