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12220012121121 = 3373110120650319
BaseRepresentation
bin1011000111010011000101…
…1110110100110000100001
31121021012222122200212121000
42301310301132310300201
53100203041100333441
641553443541222213
72400603202125660
oct261646136646041
947235878625530
1012220012121121
1139915292a3882
1214543a1401969
136a845aa6b83c
1430364781cdd7
15162d0d2072b6
hexb1d317b4c21

12220012121121 has 64 divisors (see below), whose sum is σ = 21568846233600. Its totient is φ = 6690703032000.

The previous prime is 12220012121111. The next prime is 12220012121137. The reversal of 12220012121121 is 12112121002221.

It is not a de Polignac number, because 12220012121121 - 217 = 12220011990049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220012121094 and 12220012121103.

It is not an unprimeable number, because it can be changed into a prime (12220012121111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9733401 + ... + 10916918.

It is an arithmetic number, because the mean of its divisors is an integer number (337013222400).

Almost surely, 212220012121121 is an apocalyptic number.

It is an amenable number.

12220012121121 is a deficient number, since it is larger than the sum of its proper divisors (9348834112479).

12220012121121 is a wasteful number, since it uses less digits than its factorization.

12220012121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650467 (or 20650461 counting only the distinct ones).

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

Adding to 12220012121121 its reverse (12112121002221), we get a palindrome (24332133123342).

The spelling of 12220012121121 in words is "twelve trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 63 93 101 189 217 279 303 651 707 837 909 1953 2121 2727 3131 5859 6363 9393 19089 21917 28179 65751 84537 197253 591759 20650319 61950957 144552233 185852871 433656699 557558613 640159889 1300970097 1920479667 2085682219 3902910291 4481119223 5761439001 6257046657 13443357669 14599775533 17284317003 18771139971 40330073007 43799326599 56313419913 64656148789 120990219021 131397979797 193968446367 394193939391 452593041523 581905339101 1357779124569 1745716017303 4073337373707 12220012121121