Search a number
-
+
121075661112 = 2337472326251
BaseRepresentation
bin111000011000010101…
…0111111100100111000
3102120111222012212010220
41300300222333210320
53440430332123422
6131342115340040
711514240065430
oct1606052774470
9376458185126
10121075661112
114739106624a
121b56bbb1620
13b556cc5a33
145c0814b2c0
15323962ee5c
hex1c30abf938

121075661112 has 96 divisors (see below), whose sum is σ = 353448366720. Its totient is φ = 33856920000.

The previous prime is 121075661093. The next prime is 121075661129. The reversal of 121075661112 is 211166570121.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 207987 + ... + 534237.

It is an arithmetic number, because the mean of its divisors is an integer number (3681753820).

Almost surely, 2121075661112 is an apocalyptic number.

121075661112 is a gapful number since it is divisible by the number (12) 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 121075661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176724183360).

121075661112 is an abundant number, since it is smaller than the sum of its proper divisors (232372705608).

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

121075661112 is a wasteful number, since it uses less digits than its factorization.

121075661112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326361 (or 326310 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Subtracting 121075661112 from its reverse (211166570121), we obtain a palindrome (90090909009).

The spelling of 121075661112 in words is "one hundred twenty-one billion, seventy-five million, six hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2209 2632 3948 4418 6627 7896 8836 13254 15463 17672 26508 30926 46389 53016 61852 92778 123704 185556 326251 371112 652502 978753 1305004 1957506 2283757 2610008 3915012 4567514 6851271 7830024 9135028 13702542 15333797 18270056 27405084 30667594 46001391 54810168 61335188 92002782 107336579 122670376 184005564 214673158 322009737 368011128 429346316 644019474 720688459 858692632 1288038948 1441376918 2162065377 2576077896 2882753836 4324130754 5044819213 5765507672 8648261508 10089638426 15134457639 17296523016 20179276852 30268915278 40358553704 60537830556 121075661112