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12221221100020 = 225929657762169
BaseRepresentation
bin1011000111010111100110…
…0010101101100111110100
31121021100002220121100212021
42301311321202231213310
53100213030100200040
641554203530002524
72400645152231542
oct261657142554764
947240086540767
1012221221100020
113991a99782599
12145467a276444
136a85c1387b7a
14303720208d92
15162d7e41824a
hexb1d798ad9f4

12221221100020 has 24 divisors (see below), whose sum is σ = 25692190360200. Its totient is φ = 4883226335232.

The previous prime is 12221221100003. The next prime is 12221221100063. The reversal of 12221221100020 is 2000112212221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1215030016656 + 11006191083364 = 1102284^2 + 3317558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12221221099967 and 12221221100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328862505 + ... + 328899664.

It is an arithmetic number, because the mean of its divisors is an integer number (1070507931675).

Almost surely, 212221221100020 is an apocalyptic number.

12221221100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221221100020 is an abundant number, since it is smaller than the sum of its proper divisors (13470969260180).

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

12221221100020 is a wasteful number, since it uses less digits than its factorization.

12221221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657763107 (or 657763105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221221100020 its reverse (2000112212221), we get a palindrome (14221333312241).

The spelling of 12221221100020 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 929 1858 3716 4645 9290 18580 657762169 1315524338 2631048676 3288810845 6577621690 13155243380 611061055001 1222122110002 2444244220004 3055305275005 6110610550010 12221221100020