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120000012122221 = 731157755121201
BaseRepresentation
bin11011010010001110101110…
…000110000111100001101101
3120201212220000011120220111121
4123102032232012013201231
5111212040011100402341
61103115124452420541
734163500111213000
oct3322165606074155
9521786004526447
10120000012122221
11352657a04a3880
1211560981317751
1351c5c4cab249a
14218c062907537
15dd172074c4d1
hex6d23ae18786d

120000012122221 has 32 divisors (see below), whose sum is σ = 152928262828800. Its totient is φ = 93344444928000.

The previous prime is 120000012122161. The next prime is 120000012122257. The reversal of 120000012122221 is 122221210000021.

It is a happy number.

It is not a de Polignac number, because 120000012122221 - 27 = 120000012122093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120000012122195 and 120000012122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000072122221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25383580 + ... + 29737621.

It is an arithmetic number, because the mean of its divisors is an integer number (4779008213400).

Almost surely, 2120000012122221 is an apocalyptic number.

120000012122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000012122221 is a deficient number, since it is larger than the sum of its proper divisors (32928250706579).

120000012122221 is an equidigital number, since it uses as much as digits as its factorization.

120000012122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55121810 (or 55121796 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120000012122221 its reverse (122221210000021), we get a palindrome (242221222122242).

The spelling of 120000012122221 in words is "one hundred twenty trillion, twelve million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 49 77 343 539 577 3773 4039 6347 28273 44429 197911 311003 2177021 55121201 385848407 606333211 2700938849 4244332477 18906571943 29710327339 31804932977 207972291373 222634530839 349854262747 1558441715873 2448979839229 10909092011111 17142858874603 120000012122221