Search a number
-
+
12220001211210 = 23513972909111043
BaseRepresentation
bin1011000111010011000011…
…0101001101001101001010
31121021012221220011121000020
42301310300311031031022
53100203030302224320
641553442511321310
72400603010316442
oct261646065151512
947235856147006
1012220001211210
113991523122021
121454399820236
136a845871ba80
143036461bd122
15162d0c29e940
hexb1d30d4d34a

12220001211210 has 128 divisors (see below), whose sum is σ = 31920868143360. Its totient is φ = 2975939813376.

The previous prime is 12220001211191. The next prime is 12220001211211. The reversal of 12220001211210 is 1211210002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220001211210.

It is not an unprimeable number, because it can be changed into a prime (12220001211211) 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, 109991949 + ... + 110102991.

It is an arithmetic number, because the mean of its divisors is an integer number (249381782370).

Almost surely, 212220001211210 is an apocalyptic number.

12220001211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220001211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960434071680).

12220001211210 is an abundant number, since it is smaller than the sum of its proper divisors (19700866932150).

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

12220001211210 is a wasteful number, since it uses less digits than its factorization.

12220001211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114072.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220001211210 its reverse (1211210002221), we get a palindrome (13431211213431).

The spelling of 12220001211210 in words is "twelve trillion, two hundred twenty billion, one million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2522 2909 2910 3783 5818 6305 7566 8727 12610 14545 17454 18915 29090 37817 37830 43635 75634 87270 111043 113451 189085 222086 226902 282173 333129 378170 555215 564346 567255 666258 846519 1110430 1134510 1410865 1443559 1665645 1693038 2821730 2887118 3331290 3668249 4232595 4330677 7217795 7336498 8465190 8661354 10771171 11004747 14435590 18341245 21542342 21653385 22009494 32313513 36682490 43306770 53855855 55023735 64627026 107711710 110047470 140025223 161567565 280050446 323024087 323135130 420075669 646048174 700126115 840151338 969072261 1400252230 1615120435 1938144522 2100378345 3230240870 4199313131 4200756690 4845361305 8398626262 9690722610 12597939393 20996565655 25195878786 31333336439 41993131310 62666672878 62989696965 94000009317 125979393930 156666682195 188000018634 313333364390 407333373707 470000046585 814666747414 940000093170 1222000121121 2036666868535 2444000242242 4073333737070 6110000605605 12220001211210