Search a number
-
+
120203312123121 = 329107127131776137
BaseRepresentation
bin11011010101001100000011…
…101110000100110011110001
3120202121022202111102000012120
4123111030003232010303301
5111223402340400414441
61103352350025144453
734214255062544613
oct3325140356046361
9522538674360176
10120203312123121
1135333a35aaa547
121159425a02b129
13520c17b9b41c6
142197c2ada4db3
15dd6b6d774966
hex6d5303b84cf1

120203312123121 has 64 divisors (see below), whose sum is σ = 169952614318080. Its totient is φ = 75465007188480.

The previous prime is 120203312123101. The next prime is 120203312123183. The reversal of 120203312123121 is 121321213302021.

It is not a de Polignac number, because 120203312123121 - 221 = 120203310025969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120203312123091 and 120203312123100.

It is not an unprimeable number, because it can be changed into a prime (120203312123101) 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 63 ways as a sum of consecutive naturals, for example, 154485765 + ... + 155261901.

It is an arithmetic number, because the mean of its divisors is an integer number (2655509598720).

Almost surely, 2120203312123121 is an apocalyptic number.

It is an amenable number.

120203312123121 is a deficient number, since it is larger than the sum of its proper divisors (49749302194959).

120203312123121 is a wasteful number, since it uses less digits than its factorization.

120203312123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776534.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120203312123121 its reverse (121321213302021), we get a palindrome (241524525425142).

The spelling of 120203312123121 in words is "one hundred twenty trillion, two hundred three billion, three hundred twelve million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 29 87 107 127 131 321 381 393 3103 3683 3799 9309 11049 11397 13589 14017 16637 40767 42051 49911 394081 406493 482473 776137 1182243 1219479 1447419 1780159 2328411 5340477 22507973 51624611 67523919 83046659 98569399 101673947 154873833 249139977 295708197 305021841 2408353111 2858512571 2948544463 7225059333 8575537713 8845633389 10546925693 10879112329 12912591269 31640777079 32637336987 38737773807 305860845097 315494257541 374465146801 917582535291 946482772623 1123395440403 1381647265783 4144941797349 40067770707707 120203312123121