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12221200100020 = 2254114903902561
BaseRepresentation
bin1011000111010111100001…
…0010100110101010110100
31121021100001110002110021111
42301311320102212222310
53100213004211200040
641554201455524404
72400644505566212
oct261657022465264
947240043073244
1012221200100020
113991a88939a1a
121454673229704
136a85b9c14532
1430371b4ddcb2
15162d7c66adea
hexb1d784a6ab4

12221200100020 has 24 divisors (see below), whose sum is σ = 26290484119368. Its totient is φ = 4769248819200.

The previous prime is 12221200099991. The next prime is 12221200100051. The reversal of 12221200100020 is 2000100212221.

It is a happy number.

12221200100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3253105296 + 12217946994724 = 57036^2 + 3495418^2 .

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, 7451950461 + ... + 7451952100.

It is an arithmetic number, because the mean of its divisors is an integer number (1095436838307).

Almost surely, 212221200100020 is an apocalyptic number.

12221200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221200100020 is an abundant number, since it is smaller than the sum of its proper divisors (14069284019348).

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

12221200100020 is a wasteful number, since it uses less digits than its factorization.

12221200100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14903902611 (or 14903902609 counting only the distinct ones).

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

Adding to 12221200100020 its reverse (2000100212221), we get a palindrome (14221300312241).

The spelling of 12221200100020 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 14903902561 29807805122 59615610244 74519512805 149039025610 298078051220 611060005001 1222120010002 2444240020004 3055300025005 6110600050010 12221200100020