Search a number
-
+
12122200022000 = 245319930457789
BaseRepresentation
bin1011000001100110101101…
…1011010001101111110000
31120220212111221222102010012
42300121223123101233300
53042102231201201000
641440510052354052
72360541263035145
oct260315333215760
946825457872105
1012122200022000
113953aa5984022
121439444315928
1369c170615603
142dca091aa3cc
151604d60e9735
hexb066b6d1bf0

12122200022000 has 80 divisors (see below), whose sum is σ = 29458774488000. Its totient is φ = 4824513619200.

The previous prime is 12122200021969. The next prime is 12122200022071. The reversal of 12122200022000 is 22000222121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14830895 + ... + 15626894.

It is an arithmetic number, because the mean of its divisors is an integer number (368234681100).

Almost surely, 212122200022000 is an apocalyptic number.

12122200022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122200022000 is an abundant number, since it is smaller than the sum of its proper divisors (17336574466000).

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

12122200022000 is a wasteful number, since it uses less digits than its factorization.

12122200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30458011 (or 30457995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12122200022000 its reverse (22000222121), we get a palindrome (12144200244121).

The spelling of 12122200022000 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1592 1990 2000 3184 3980 4975 7960 9950 15920 19900 24875 39800 49750 79600 99500 199000 398000 30457789 60915578 121831156 152288945 243662312 304577890 487324624 609155780 761444725 1218311560 1522889450 2436623120 3045778900 3807223625 6061100011 6091557800 7614447250 12122200022 12183115600 15228894500 24244400044 30305500055 30457789000 48488800088 60611000110 60915578000 96977600176 121222000220 151527500275 242444000440 303055000550 484888000880 606110001100 757637501375 1212220002200 1515275002750 2424440004400 3030550005500 6061100011000 12122200022000