Search a number
-
+
121183172288 = 266773387137
BaseRepresentation
bin111000011011100010…
…1000111011011000000
3102120210110111222202022
41300313011013123000
53441140343003123
6131400515541012
711520013653203
oct1606705073300
9376713458668
10121183172288
1147436817a62
121b59bbba768
13b573369309
145c1853593a
153243cba1c8
hex1c371476c0

121183172288 has 56 divisors (see below), whose sum is σ = 247405958832. Its totient is φ = 58869448704.

The previous prime is 121183172251. The next prime is 121183172329. The reversal of 121183172288 is 882271381121.

It is a super-2 number, since 2×1211831722882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119456 + ... + 506592.

Almost surely, 2121183172288 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 121183172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123702979416).

121183172288 is an abundant number, since it is smaller than the sum of its proper divisors (126222786544).

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

121183172288 is an equidigital number, since it uses as much as digits as its factorization.

121183172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387289 (or 387279 counting only the distinct ones).

The product of its digits is 86016, while the sum is 44.

The spelling of 121183172288 in words is "one hundred twenty-one billion, one hundred eighty-three million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 67 73 134 146 268 292 536 584 1072 1168 2144 2336 4288 4672 4891 9782 19564 39128 78256 156512 313024 387137 774274 1548548 3097096 6194192 12388384 24776768 25938179 28261001 51876358 56522002 103752716 113044004 207505432 226088008 415010864 452176016 830021728 904352032 1660043456 1808704064 1893487067 3786974134 7573948268 15147896536 30295793072 60591586144 121183172288