Search a number
-
+
120211020220122 = 2321313927111363277
BaseRepresentation
bin11011010101010011001111…
…001010001000011011011010
3120202122001122200112220110200
4123111103033022020123122
5111224014132134020442
61103400102540323030
734214650100360616
oct3325231712103332
9522561580486420
10120211020220122
1135337231023947
121159584b543476
13520cb09902b50
14219835c9a6346
15dd6e7031034c
hex6d54cf2886da

120211020220122 has 96 divisors (see below), whose sum is σ = 282614727507840. Its totient is φ = 36708333010560.

The previous prime is 120211020220117. The next prime is 120211020220127. The reversal of 120211020220122 is 221022020112021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120211020220117) and next prime (120211020220127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120211020220095 and 120211020220104.

It is not an unprimeable number, because it can be changed into a prime (120211020220127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87496348 + ... + 88859624.

It is an arithmetic number, because the mean of its divisors is an integer number (2943903411540).

Almost surely, 2120211020220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211020220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141307363753920).

120211020220122 is an abundant number, since it is smaller than the sum of its proper divisors (162403707287718).

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

120211020220122 is a wasteful number, since it uses less digits than its factorization.

120211020220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366148 (or 1366145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120211020220122 its reverse (221022020112021), we get a palindrome (341233040332143).

The spelling of 120211020220122 in words is "one hundred twenty trillion, two hundred eleven billion, twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 2711 3614 5421 5422 8133 10842 16263 16266 24399 32526 35243 48798 70486 105729 211458 317187 376829 634374 753658 1130487 1363277 2260974 2726554 3391461 4089831 4898777 6782922 8179662 9797554 12269493 14696331 17722601 24538986 29392662 35445202 44088993 53167803 88177986 106335606 159503409 189495503 319006818 378991006 568486509 1136973018 1705459527 2463441539 3410919054 3695843947 4926883078 7390324617 7391687894 11087531841 14780649234 22170973851 22175063682 33262595523 44341947702 48045971311 66525191046 96091942622 144137913933 288275827866 432413741799 513722308633 864827483598 1027444617266 1541166925899 3082333851798 4623500777697 6678390012229 9247001555394 13356780024458 20035170036687 40070340073374 60105510110061 120211020220122