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12022200110020 = 2255373155365729
BaseRepresentation
bin1010111011110010001011…
…1101111000101111000100
31120120022101210111112121111
42232330202331320233010
53033432431212010040
641322531131254404
72350401216564232
oct256744275705704
946508353445544
1012022200110020
11391564a5a9071
121421b965aa404
136928c4b36c69
142d7c4016d952
1515cad1dcadea
hexaef22f78bc4

12022200110020 has 48 divisors (see below), whose sum is σ = 26075341197360. Its totient is φ = 4653514285056.

The previous prime is 12022200110003. The next prime is 12022200110021. The reversal of 12022200110020 is 2001100222021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33307710016 + 11988892400004 = 182504^2 + 3462498^2 .

It is not an unprimeable number, because it can be changed into a prime (12022200110021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77605485 + ... + 77760244.

It is an arithmetic number, because the mean of its divisors is an integer number (543236274945).

Almost surely, 212022200110020 is an apocalyptic number.

12022200110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022200110020 is an abundant number, since it is smaller than the sum of its proper divisors (14053141087340).

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

12022200110020 is a wasteful number, since it uses less digits than its factorization.

12022200110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155365864 (or 155365862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12022200110020 its reverse (2001100222021), we get a palindrome (14023300332041).

It can be divided in two parts, 120222001 and 10020, that added together give a palindrome (120232021).

The spelling of 12022200110020 in words is "twelve trillion, twenty-two billion, two hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 73 106 146 212 265 292 365 530 730 1060 1460 3869 7738 15476 19345 38690 77380 155365729 310731458 621462916 776828645 1553657290 3107314580 8234383637 11341698217 16468767274 22683396434 32937534548 41171918185 45366792868 56708491085 82343836370 113416982170 164687672740 226833964340 601110005501 1202220011002 2404440022004 3005550027505 6011100055010 12022200110020