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12200122000010 = 2574718553199873
BaseRepresentation
bin1011000110001000111111…
…1100000010001010001010
31121012022122110221000211202
42301202033330002022022
53044341322213000020
641540354135024202
72366300252650460
oct261421774021212
947168573830752
1012200122000010
1139840518a345a
12145057020b062
136a660b0860c9
143026bbd7a830
15162546e42e75
hexb188ff0228a

12200122000010 has 64 divisors (see below), whose sum is σ = 25632890698752. Its totient is φ = 4093659979776.

The previous prime is 12200121999977. The next prime is 12200122000013. The reversal of 12200122000010 is 1000022100221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12200121999955 and 12200122000000.

It is not an unprimeable number, because it can be changed into a prime (12200122000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60939434 + ... + 61139306.

It is an arithmetic number, because the mean of its divisors is an integer number (400513917168).

Almost surely, 212200122000010 is an apocalyptic number.

12200122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200122000010 is an abundant number, since it is smaller than the sum of its proper divisors (13432768698742).

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

12200122000010 is a wasteful number, since it uses less digits than its factorization.

12200122000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218487.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200122000010 its reverse (1000022100221), we get a palindrome (13200144100231).

The spelling of 12200122000010 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 1645 3290 18553 37106 92765 129871 185530 199873 259742 399746 649355 871991 999365 1298710 1399111 1743982 1998730 2798222 4359955 6103937 6995555 8719910 9394031 12207874 13991110 18788062 30519685 46970155 61039370 65758217 93940310 131516434 328791085 657582170 3708243769 7416487538 18541218845 25957706383 37082437690 51915412766 129788531915 174287457143 259577063830 348574914286 871437285715 1220012200001 1742874571430 2440024400002 6100061000005 12200122000010