Search a number
-
+
12220202001020 = 225132101113316783
BaseRepresentation
bin1011000111010011110011…
…0011001010001001111100
31121021020110212222202211212
42301310330303022021330
53100203433203013040
641553514443103552
72400610666103456
oct261647463121174
947236425882755
1012220202001020
1139916164a4412
121454434b11bb8
136a848b1c1700
14303664b292d6
15162d1ec12d65
hexb1d3ccca27c

12220202001020 has 144 divisors (see below), whose sum is σ = 28311875609472. Its totient is φ = 4427852083200.

The previous prime is 12220202000983. The next prime is 12220202001089. The reversal of 12220202001020 is 2010020202221.

It is a junction number, because it is equal to n+sod(n) for n = 12220202000986 and 12220202001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38417549 + ... + 38734331.

It is an arithmetic number, because the mean of its divisors is an integer number (196610247288).

Almost surely, 212220202001020 is an apocalyptic number.

12220202001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155937804736).

12220202001020 is an abundant number, since it is smaller than the sum of its proper divisors (16091673608452).

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

12220202001020 is a wasteful number, since it uses less digits than its factorization.

12220202001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317032 (or 317017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220202001020 its reverse (2010020202221), we get a palindrome (14230222203241).

The spelling of 12220202001020 in words is "twelve trillion, two hundred twenty billion, two hundred two million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 113 130 169 202 226 260 338 404 452 505 565 676 845 1010 1130 1313 1469 1690 2020 2260 2626 2938 3380 5252 5876 6565 7345 11413 13130 14690 17069 19097 22826 26260 29380 34138 38194 45652 57065 68276 76388 85345 95485 114130 148369 170690 190970 228260 296738 316783 341380 381940 593476 633566 741845 1267132 1483690 1583915 1928797 2967380 3167830 3857594 4118179 6335660 7715188 8236358 9643985 16472716 19287970 20590895 31995083 35796479 38575940 41181790 53536327 63990166 71592958 82363580 107072654 127980332 143185916 159975415 178982395 214145308 267681635 319950830 357964790 415936079 465354227 535363270 639901660 715929580 831872158 930708454 1070726540 1663744316 1861416908 2079680395 2326771135 3615444379 4159360790 4653542270 5407169027 6049604951 7230888758 8318721580 9307084540 10814338054 12099209902 14461777516 18077221895 21628676108 24198419804 27035845135 30248024755 36154443790 47000776927 54071690270 60496049510 72308887580 94001553854 108143380540 120992099020 188003107708 235003884635 470007769270 611010100051 940015538540 1222020200102 2444040400204 3055050500255 6110101000510 12220202001020