Search a number
-
+
121032312213232 = 24713930112582009
BaseRepresentation
bin11011100001010000000111…
…111110011100111011110000
3120212112120112221022222001201
4123201100013332130323300
5111330443133411310412
61105225250542140544
734331203345211410
oct3341200776347360
9525476487288051
10121032312213232
1135623573a36162
12116a8a58581754
13526c3b4b1a7c4
1421c5dd0a4c640
15ded4dc9cae57
hex6e1407f9cef0

121032312213232 has 80 divisors (see below), whose sum is σ = 270017930246400. Its totient is φ = 51480695185920.

The previous prime is 121032312213187. The next prime is 121032312213269. The reversal of 121032312213232 is 232312213230121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 121032312213232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45584244 + ... + 48166252.

It is an arithmetic number, because the mean of its divisors is an integer number (3375224128080).

Almost surely, 2121032312213232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032312213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135008965123200).

121032312213232 is an abundant number, since it is smaller than the sum of its proper divisors (148985618033168).

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

121032312213232 is a wasteful number, since it uses less digits than its factorization.

121032312213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585174 (or 2585168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 121032312213232 its reverse (232312213230121), we get a palindrome (353344525443353).

The spelling of 121032312213232 in words is "one hundred twenty-one trillion, thirty-two billion, three hundred twelve million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3011 3892 6022 7784 12044 15568 21077 24088 42154 48176 84308 168616 337232 418529 837058 1674116 2582009 2929703 3348232 5164018 5859406 6696464 10328036 11718812 18074063 20656072 23437624 36148126 41312144 46875248 72296252 144592504 289185008 358899251 717798502 1435597004 2512294757 2871194008 5024589514 5742388016 7774429099 10049179028 15548858198 20098358056 31097716396 40196716112 54421003693 62195432792 108842007386 124390865584 217684014772 435368029544 870736059088 1080645644761 2161291289522 4322582579044 7564519513327 8645165158088 15129039026654 17290330316176 30258078053308 60516156106616 121032312213232