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12200122200020 = 2251735882712353
BaseRepresentation
bin1011000110001000111111…
…1100110010111111010100
31121012022122111022012012112
42301202033330302333110
53044341322240400040
641540354143210152
72366300254442546
oct261421774627724
947168574265175
1012200122200020
113984051a1a757
1214505702a6958
136a660b126161
143026bbdcd696
15162546e82365
hexb188ff32fd4

12200122200020 has 24 divisors (see below), whose sum is σ = 27127330539624. Its totient is φ = 4592987181056.

The previous prime is 12200122199989. The next prime is 12200122200031. The reversal of 12200122200020 is 2000222100221.

It can be written as a sum of positive squares in 4 ways, for example, as 3135952223044 + 9064169976976 = 1770862^2 + 3010676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12200122199968 and 12200122200004.

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, 17941355837 + ... + 17941356516.

It is an arithmetic number, because the mean of its divisors is an integer number (1130305439151).

Almost surely, 212200122200020 is an apocalyptic number.

12200122200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200122200020 is an abundant number, since it is smaller than the sum of its proper divisors (14927208339604).

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

12200122200020 is a wasteful number, since it uses less digits than its factorization.

12200122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35882712379 (or 35882712377 counting only the distinct ones).

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

Adding to 12200122200020 its reverse (2000222100221), we get a palindrome (14200344300241).

The spelling of 12200122200020 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 35882712353 71765424706 143530849412 179413561765 358827123530 610006110001 717654247060 1220012220002 2440024440004 3050030550005 6100061100010 12200122200020