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12211200122200 = 235264195251171
BaseRepresentation
bin1011000110110010010000…
…1111101101110101011000
31121020101020112100221120121
42301230210033231311120
53100032014212402300
641545425313403024
72400141631306012
oct261544417556530
947211215327517
1012211200122200
11398881713a642
121452742269474
136a76852341b1
1430304d3851b2
151629947b481a
hexb1b243edd58

12211200122200 has 48 divisors (see below), whose sum is σ = 28435332377160. Its totient is φ = 4876859904000.

The previous prime is 12211200122167. The next prime is 12211200122201. The reversal of 12211200122200 is 222100211221.

It is a happy number.

It is a super-2 number, since 2×122112001222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200122201) 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 11 ways as a sum of consecutive naturals, for example, 47497386 + ... + 47753785.

Almost surely, 212211200122200 is an apocalyptic number.

12211200122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211200122200 is an abundant number, since it is smaller than the sum of its proper divisors (16224132254960).

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

12211200122200 is a wasteful number, since it uses less digits than its factorization.

12211200122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95251828 (or 95251819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211200122200 its reverse (222100211221), we get a palindrome (12433300333421).

The spelling of 12211200122200 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 641 1282 2564 3205 5128 6410 12820 16025 25640 32050 64100 128200 95251171 190502342 381004684 476255855 762009368 952511710 1905023420 2381279275 3810046840 4762558550 9525117100 19050234200 61056000611 122112001222 244224002444 305280003055 488448004888 610560006110 1221120012220 1526400015275 2442240024440 3052800030550 6105600061100 12211200122200