Search a number
-
+
12220112011000 = 235318173392107
BaseRepresentation
bin1011000111010011011101…
…1011110111111011111000
31121021020020121122210202011
42301310313123313323320
53100203242133323000
641553501510215304
72400605524152055
oct261646733677370
947236217583664
1012220112011000
11399157a71a5a3
12145440a954534
136a847567418a
14303656bc202c
15162d16d892ba
hexb1d376f7ef8

12220112011000 has 128 divisors (see below), whose sum is σ = 28792584999360. Its totient is φ = 4854354624000.

The previous prime is 12220112010979. The next prime is 12220112011001. The reversal of 12220112011000 is 11021102221.

It is a super-2 number, since 2×122201120110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220112011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132626947 + ... + 132719053.

Almost surely, 212220112011000 is an apocalyptic number.

12220112011000 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 12220112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396292499680).

12220112011000 is an abundant number, since it is smaller than the sum of its proper divisors (16572472988360).

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

12220112011000 is a wasteful number, since it uses less digits than its factorization.

12220112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93042 (or 93028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12220112011000 its reverse (11021102221), we get a palindrome (12231133113221).

The spelling of 12220112011000 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 733 905 1000 1448 1466 1810 2932 3620 3665 4525 5864 7240 7330 9050 14660 18100 18325 22625 29320 36200 36650 45250 73300 90500 91625 92107 132673 146600 181000 183250 184214 265346 366500 368428 460535 530692 663365 733000 736856 921070 1061384 1326730 1842140 2302675 2653460 3316825 3684280 4605350 5306920 6633650 9210700 11513375 13267300 16584125 16671367 18421400 23026750 26534600 33168250 33342734 46053500 66336500 66685468 67514431 83356835 92107000 132673000 133370936 135028862 166713670 270057724 333427340 337572155 416784175 540115448 666854680 675144310 833568350 1350288620 1667136700 1687860775 2083920875 2700577240 3334273400 3375721550 4167841750 6751443100 8335683500 8439303875 12220112011 13502886200 16671367000 16878607750 24440224022 33757215500 48880448044 61100560055 67514431000 97760896088 122201120110 244402240220 305502800275 488804480440 611005600550 1222011201100 1527514001375 2444022402200 3055028002750 6110056005500 12220112011000