Search a number
-
+
122200021020 = 223572113778603
BaseRepresentation
bin111000111001110110…
…0000101100000011100
3102200102022220020222110
41301303230011200130
54000231201133040
6132045442314020
711554142016600
oct1616354054034
9380368806873
10122200021020
11479087a9510
121b824658910
13b6a5c2545c
145cb35cb500
1532a31c8980
hex1c73b0581c

122200021020 has 144 divisors (see below), whose sum is σ = 434206942848. Its totient is φ = 25392205440.

The previous prime is 122200020941. The next prime is 122200021033. The reversal of 122200021020 is 20120002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122200020987 and 122200021005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856962 + ... + 1921641.

It is an arithmetic number, because the mean of its divisors is an integer number (3015325992).

Almost surely, 2122200021020 is an apocalyptic number.

122200021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200021020 is an abundant number, since it is smaller than the sum of its proper divisors (312006921828).

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

122200021020 is a wasteful number, since it uses less digits than its factorization.

122200021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778640 (or 3778631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122200021020 its reverse (20120002221), we get a palindrome (142320023241).

The spelling of 122200021020 in words is "one hundred twenty-two billion, two hundred million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 3778603 7557206 11335809 15114412 18893015 22671618 26450221 37786030 41564633 45343236 52900442 56679045 75572060 79350663 83129266 105800884 113358090 124693899 132251105 158701326 166258532 185151547 207823165 226716180 249387798 264502210 290952431 317402652 370303094 396753315 415646330 498775596 529004420 555454641 581904862 623469495 740606188 793506630 831292660 872857293 925757735 1110909282 1163809724 1246938990 1454762155 1587013260 1745714586 1851515470 2036667017 2221818564 2493877980 2777273205 2909524310 3491429172 3703030940 4073334034 4364286465 5554546410 5819048620 6110001051 8146668068 8728572930 10183335085 11109092820 12220002102 17457145860 20366670170 24440004204 30550005255 40733340340 61100010510 122200021020