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121120221001212 = 223319106315552201
BaseRepresentation
bin11011100010100001111111…
…101111110111010111111100
3120212211222110110020002121000
4123202201333233313113330
5111333413203034014322
61105333510020410300
734340434662452046
oct3342417757672774
9525758413202530
10121120221001212
1135657885180754
1211701ab0b46990
13527778460ac04
1421ca36dd0aa96
15e009354793ac
hex6e287fbf75fc

121120221001212 has 96 divisors (see below), whose sum is σ = 330573665318400. Its totient is φ = 38244886128000.

The previous prime is 121120221001181. The next prime is 121120221001229. The reversal of 121120221001212 is 212100122021121.

121120221001212 is a `hidden beast` number, since 1 + 211 + 20 + 221 + 0 + 0 + 1 + 212 = 666.

121120221001212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1211202210012123 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19038712 + ... + 24590912.

It is an arithmetic number, because the mean of its divisors is an integer number (3443475680400).

Almost surely, 2121120221001212 is an apocalyptic number.

121120221001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121120221001212 is an abundant number, since it is smaller than the sum of its proper divisors (209453444317188).

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

121120221001212 is a wasteful number, since it uses less digits than its factorization.

121120221001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562864 (or 5562856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120221001212 its reverse (212100122021121), we get a palindrome (333220343022333).

The spelling of 121120221001212 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 10631 21262 31893 42524 63786 95679 127572 191358 201989 287037 382716 403978 574074 605967 807956 1148148 1211934 1817901 2423868 3635802 5453703 5552201 7271604 10907406 11104402 16656603 21814812 22208804 33313206 49969809 66626412 99939618 105491819 149909427 199879236 210983638 299818854 316475457 421967276 599637708 632950914 949426371 1265901828 1898852742 2848279113 3797705484 5696558226 11393116452 59025448831 118050897662 177076346493 236101795324 354152692986 531229039479 708305385972 1062458078958 1121483527789 1593687118437 2124916157916 2242967055578 3187374236874 3364450583367 4485934111156 6374748473748 6728901166734 10093351750101 13457802333468 20186703500202 30280055250303 40373407000404 60560110500606 121120221001212