Search a number
-
+
12222012020000 = 25541016050501
BaseRepresentation
bin1011000111011010100010…
…1011110101010100100000
31121021102011000212021002212
42301312220223311110200
53100221140034120000
641554414222101252
72401003565026646
oct261665053652440
947242130767085
1012222012020000
113992365181472
12145485b11a828
136a86b91abb63
1430379728d196
15162dc8a99c35
hexb1da8af5520

12222012020000 has 120 divisors (see below), whose sum is σ = 30365690690412. Its totient is φ = 4840400000000.

The previous prime is 12222012019999. The next prime is 12222012020059. The reversal of 12222012020000 is 2021022221.

It can be written as a sum of positive squares in 10 ways, for example, as 1125305126416 + 11096706893584 = 1060804^2 + 3331172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005251 + ... + 5045250.

Almost surely, 212222012020000 is an apocalyptic number.

12222012020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222012020000 is an abundant number, since it is smaller than the sum of its proper divisors (18143678670412).

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

12222012020000 is an equidigital number, since it uses as much as digits as its factorization.

12222012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050632 (or 6050609 counting only the distinct ones).

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

Adding to 12222012020000 its reverse (2021022221), we get a palindrome (12224033042221).

The spelling of 12222012020000 in words is "twelve trillion, two hundred twenty-two billion, twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 63125 80800 101000 126250 202000 252500 404000 505000 1010000 2020000 6050501 12101002 24202004 30252505 48404008 60505010 96808016 121010020 151262525 193616032 242020040 302525050 484040080 605050100 611100601 756312625 968080160 1210100200 1222201202 1512625250 2420200400 2444402404 3025250500 3055503005 3781563125 4840400800 4888804808 6050501000 6111006010 7563126250 9777609616 12101002000 12222012020 15126252500 15277515025 19555219232 24202004000 24444024040 30252505000 30555030050 48888048080 60505010000 61110060100 76387575125 97776096160 121010020000 122220120200 152775150250 244440240400 305550300500 381937875625 488880480800 611100601000 763875751250 1222201202000 1527751502500 2444402404000 3055503005000 6111006010000 12222012020000