Search a number
-
+
120211121110212 = 223211833657390809
BaseRepresentation
bin11011010101010011010101…
…001010111111110011000100
3120202122001220201101122122200
4123111103111022333303010
5111224014334001011322
61103400120542554500
734214652434051046
oct3325232512776304
9522561821348580
10120211121110212
1135337282a73090
1211595879298a30
13520cb24798822
14219836c149a96
15dd6e790dd8ac
hex6d54d52bfcc4

120211121110212 has 72 divisors (see below), whose sum is σ = 335485144219680. Its totient is φ = 35988725550720.

The previous prime is 120211121110211. The next prime is 120211121110259. The reversal of 120211121110212 is 212011121112021.

It is a happy number.

120211121110212 is a `hidden beast` number, since 1 + 20 + 211 + 1 + 211 + 10 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120211121110211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828662537 + ... + 1828728272.

It is an arithmetic number, because the mean of its divisors is an integer number (4659515891940).

Almost surely, 2120211121110212 is an apocalyptic number.

120211121110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120211121110212 is an abundant number, since it is smaller than the sum of its proper divisors (215274023109468).

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

120211121110212 is a wasteful number, since it uses less digits than its factorization.

120211121110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657390913 (or 3657390908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120211121110212 its reverse (212011121112021), we get a palindrome (332222242222233).

The spelling of 120211121110212 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16434 32868 3657390809 7314781618 10972172427 14629563236 21944344854 32916517281 40231298899 43888689708 65833034562 80462597798 120693896697 131666069124 160925195596 241387793394 303563437147 362081690091 482775586788 607126874294 724163380182 910690311441 1214253748588 1448326760364 1821380622882 2732070934323 3339197808617 3642761245764 5464141868646 6678395617234 10017593425851 10928283737292 13356791234468 20035186851702 30052780277553 40070373703404 60105560555106 120211121110212