Search a number
-
+
12200121122120 = 2351512637680181
BaseRepresentation
bin1011000110001000111111…
…1000101011110101001000
31121012022122102021102121022
42301202033320223311020
53044341322001401440
641540354104132012
72366300242333151
oct261421770536510
947168572242538
1012200121122120
113984051353928
12145056ba67008
136a660ab39649
143026bbbcc928
15162546d1ccb5
hexb188fe2bd48

12200121122120 has 64 divisors (see below), whose sum is σ = 27737130896640. Its totient is φ = 4829297184000.

The previous prime is 12200121122089. The next prime is 12200121122129. The reversal of 12200121122120 is 2122112100221.

12200121122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12200121122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251571 + ... + 5428610.

It is an arithmetic number, because the mean of its divisors is an integer number (433392670260).

Almost surely, 212200121122120 is an apocalyptic number.

12200121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121122120 is an abundant number, since it is smaller than the sum of its proper divisors (15537009774520).

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

12200121122120 is a wasteful number, since it uses less digits than its factorization.

12200121122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680606 (or 7680602 counting only the distinct ones).

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

Adding to 12200121122120 its reverse (2122112100221), we get a palindrome (14322233222341).

The spelling of 12200121122120 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 263 302 526 604 755 1052 1208 1315 1510 2104 2630 3020 5260 6040 10520 39713 79426 158852 198565 317704 397130 794260 1588520 7680181 15360362 30720724 38400905 61441448 76801810 153603620 307207240 1159707331 2019887603 2319414662 4039775206 4638829324 5798536655 8079550412 9277658648 10099438015 11597073310 16159100824 20198876030 23194146620 40397752060 46388293240 80795504120 305003028053 610006056106 1220012112212 1525015140265 2440024224424 3050030280530 6100060561060 12200121122120