Search a number
-
+
12200002112120 = 23523101131295761
BaseRepresentation
bin1011000110001000100011…
…0010101100101001111000
31121012022100010100002120112
42301202020302230221320
53044341101020041440
641540334213243452
72366264265634214
oct261421062545170
947168303302515
1012200002112120
113983aa0158959
121450538033588
136a65bc29b224
143026aa08d944
1516253b660965
hexb1888caca78

12200002112120 has 64 divisors (see below), whose sum is σ = 28927082283840. Its totient is φ = 4621610752000.

The previous prime is 12200002112117. The next prime is 12200002112159. The reversal of 12200002112120 is 2121120000221.

It is a super-2 number, since 2×122000021121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200002112095 and 12200002112104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65554961 + ... + 65740800.

It is an arithmetic number, because the mean of its divisors is an integer number (451985660685).

Almost surely, 212200002112120 is an apocalyptic number.

12200002112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200002112120 is an abundant number, since it is smaller than the sum of its proper divisors (16727080171720).

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

12200002112120 is a wasteful number, since it uses less digits than its factorization.

12200002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131295896 (or 131295892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200002112120 its reverse (2121120000221), we get a palindrome (14321122112341).

The spelling of 12200002112120 in words is "twelve trillion, two hundred billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 2020 2323 4040 4646 9292 11615 18584 23230 46460 92920 131295761 262591522 525183044 656478805 1050366088 1312957610 2625915220 3019802503 5251830440 6039605006 12079210012 13260871861 15099012515 24158420024 26521743722 30198025030 53043487444 60396050060 66304359305 106086974888 120792100120 132608718610 265217437220 305000052803 530434874440 610000105606 1220000211212 1525000264015 2440000422424 3050000528030 6100001056060 12200002112120