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12221012002120 = 2354736457178307
BaseRepresentation
bin1011000111010110110100…
…0101000100010101001000
31121021022120100011002110121
42301311231011010111020
53100212113033031440
641554131100153024
72400640033022635
oct261655505042510
947238510132417
1012221012002120
1139919a1746209
121454620238774
136a8589c667bc
1430370053918c
15162d6adb334a
hexb1d6d144548

12221012002120 has 64 divisors (see below), whose sum is σ = 28083253236480. Its totient is φ = 4784238122496.

The previous prime is 12221012002117. The next prime is 12221012002151. The reversal of 12221012002120 is 2120021012221.

It is a happy number.

It is a super-2 number, since 2×122210120021202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221012002094 and 12221012002103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68450007 + ... + 68628313.

It is an arithmetic number, because the mean of its divisors is an integer number (438800831820).

Almost surely, 212221012002120 is an apocalyptic number.

12221012002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012002120 is an abundant number, since it is smaller than the sum of its proper divisors (15862241234360).

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

12221012002120 is a wasteful number, since it uses less digits than its factorization.

12221012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214822 (or 214818 counting only the distinct ones).

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

Adding to 12221012002120 its reverse (2120021012221), we get a palindrome (14341033014341).

The spelling of 12221012002120 in words is "twelve trillion, two hundred twenty-one billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 36457 72914 145828 178307 182285 291656 356614 364570 713228 729140 891535 1426456 1458280 1713479 1783070 3426958 3566140 6853916 7132280 8380429 8567395 13707832 16760858 17134790 33521716 34269580 41902145 67043432 68539160 83804290 167608580 335217160 6500538299 13001076598 26002153196 32502691495 52004306392 65005382990 130010765980 260021531960 305525300053 611050600106 1222101200212 1527626500265 2444202400424 3055253000530 6110506001060 12221012002120