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121514967265 = 52921973832
BaseRepresentation
bin111000100101011011…
…0110100000011100001
3102121122120211220220011
41301022312310003201
53442330312423030
6131453451244521
711531153115406
oct1611266640341
9377576756804
10121514967265
114759703848a
121b673149741
13b5c701a0c3
145c4a6242ad
153262ea9b2a
hex1c4adb40e1

121514967265 has 36 divisors (see below), whose sum is σ = 152183492604. Its totient is φ = 93139570048.

The previous prime is 121514967263. The next prime is 121514967271. The reversal of 121514967265 is 562769415121.

It can be written as a sum of positive squares in 6 ways, for example, as 8949349201 + 112565618064 = 94601^2 + 335508^2 .

It is not a de Polignac number, because 121514967265 - 21 = 121514967263 is a prime.

It is a super-4 number, since 4×1215149672654 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121514967263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317271264 + ... + 317271646.

It is an arithmetic number, because the mean of its divisors is an integer number (4227319239).

Almost surely, 2121514967265 is an apocalyptic number.

It is an amenable number.

121514967265 is a deficient number, since it is larger than the sum of its proper divisors (30668525339).

121514967265 is an frugal number, since it uses more digits than its factorization.

121514967265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 614 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The spelling of 121514967265 in words is "one hundred twenty-one billion, five hundred fourteen million, nine hundred sixty-seven thousand, two hundred sixty-five".

Divisors: 1 5 29 145 197 383 841 985 1915 4205 5713 11107 28565 55535 75451 146689 165677 322103 377255 733445 828385 1610515 2188079 4253981 10940395 21269905 28897733 63454291 123365449 144488665 317271455 616827245 838034257 4190171285 24302993453 121514967265