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12202233220221 = 311379993639001
BaseRepresentation
bin1011000110010000110111…
…0001101100110001111101
31121012112002121120010111220
42301210031301230301331
53044410133201021341
641541343433503553
72366403500015442
oct261441561546175
947175077503456
1012202233220221
113984a355a5450
121450a5b271bb9
136a68865a2035
1430283c5079c9
1516261c474a66
hexb190dc6cc7d

12202233220221 has 16 divisors (see below), whose sum is σ = 18228397539648. Its totient is φ = 7195420080000.

The previous prime is 12202233220171. The next prime is 12202233220237.

12202233220221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12202233220221 - 218 = 12202232958077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202233220191 and 12202233220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202233220421) 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 15 ways as a sum of consecutive naturals, for example, 4996818280 + ... + 4996820721.

It is an arithmetic number, because the mean of its divisors is an integer number (1139274846228).

Almost surely, 212202233220221 is an apocalyptic number.

12202233220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202233220221 is a deficient number, since it is larger than the sum of its proper divisors (6026164319427).

12202233220221 is a wasteful number, since it uses less digits than its factorization.

12202233220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993639052.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1220223 and 3220221, that added together give a palindrome (4440444).

The spelling of 12202233220221 in words is "twelve trillion, two hundred two billion, two hundred thirty-three million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 9993639001 29980917003 109930029011 329790087033 369764643037 1109293929111 4067411073407 12202233220221