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12200121220 = 2257787110729
BaseRepresentation
bin10110101110010111…
…10001001110000100
31011111020200101001111
423113023301032010
5144441212334340
65334334534404
7611221214350
oct132713611604
934436611044
1012200121220
1151a0717711
122445967404
1311c5762051
1483a432460
154b6100aea
hex2d72f1384

12200121220 has 48 divisors (see below), whose sum is σ = 29317760640. Its totient is φ = 4177545984.

The previous prime is 12200121191. The next prime is 12200121221. The reversal of 12200121220 is 2212100221.

It is a happy number.

12200121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12200121220.

It is not an unprimeable number, because it can be changed into a prime (12200121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54816 + ... + 165544.

It is an arithmetic number, because the mean of its divisors is an integer number (610786680).

Almost surely, 212200121220 is an apocalyptic number.

12200121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121220 is an abundant number, since it is smaller than the sum of its proper divisors (17117639420).

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

12200121220 is a wasteful number, since it uses less digits than its factorization.

12200121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111532 (or 111530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200121220 its reverse (2212100221), we get a palindrome (14412221441).

The spelling of 12200121220 in words is "twelve billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 787 1574 3148 3935 5509 7870 11018 15740 22036 27545 55090 110180 110729 221458 442916 553645 775103 1107290 1550206 2214580 3100412 3875515 7751030 15502060 87143723 174287446 348574892 435718615 610006061 871437230 1220012122 1742874460 2440024244 3050030305 6100060610 12200121220