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12200222110121 = 77348773236201
BaseRepresentation
bin1011000110001001010111…
…1001111011000110101001
31121012022220110022011002122
42301202111321323012221
53044342023330010441
641540412112441025
72366302606611623
oct261422571730651
947168813264078
1012200222110121
1139840a335a691
121450599849175
136a6625a37a66
143026cb399c13
15162550b1a34b
hexb1895e7b1a9

12200222110121 has 8 divisors (see below), whose sum is σ = 12218513657544. Its totient is φ = 12181937046400.

The previous prime is 12200222110073. The next prime is 12200222110127. The reversal of 12200222110121 is 12101122200221.

It can be written as a sum of positive squares in 4 ways, for example, as 578504754025 + 11621717356096 = 760595^2 + 3409064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200222110121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200222110121.

It is not an unprimeable number, because it can be changed into a prime (12200222110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2151821 + ... + 5388021.

It is an arithmetic number, because the mean of its divisors is an integer number (1527314207193).

Almost surely, 212200222110121 is an apocalyptic number.

It is an amenable number.

12200222110121 is a deficient number, since it is larger than the sum of its proper divisors (18291547423).

12200222110121 is an equidigital number, since it uses as much as digits as its factorization.

12200222110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241851.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12200222110121 its reverse (12101122200221), we get a palindrome (24301344310342).

The spelling of 12200222110121 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 773 4877 3236201 3769921 2501583373 15782952277 12200222110121