Search a number
-
+
122010001002200 = 23521734885972173
BaseRepresentation
bin11011101111011110101010…
…110001001100111011011000
3121000000001010202021102210102
4123233132222301030323120
5111443002440224032300
61111254342022034532
734461634364620103
oct3357365261147330
9530001122242712
10122010001002200
1135970172853a73
1211826432578a48
13531065593c70c
14221b45bc6373a
15e18b6063d0d5
hex6ef7aac4ced8

122010001002200 has 96 divisors (see below), whose sum is σ = 285322774892400. Its totient is φ = 48520230965760.

The previous prime is 122010001002193. The next prime is 122010001002287. The reversal of 122010001002200 is 2200100010221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690485314 + ... + 1690557486.

Almost surely, 2122010001002200 is an apocalyptic number.

122010001002200 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 122010001002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142661387446200).

122010001002200 is an abundant number, since it is smaller than the sum of its proper divisors (163312773890200).

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

122010001002200 is a wasteful number, since it uses less digits than its factorization.

122010001002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121221 (or 121212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122010001002200 its reverse (2200100010221), we get a palindrome (124210101012421).

The spelling of 122010001002200 in words is "one hundred twenty-two trillion, ten billion, one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 48859 72173 97718 144346 195436 244295 288692 360865 390872 488590 577384 721730 977180 1221475 1443460 1804325 1954360 2442950 2886920 3608650 4885900 7217300 8452607 9771800 12485929 14434600 16905214 24971858 33810428 42263035 49943716 62429645 67620856 84526070 99887432 124859290 169052140 211315175 249718580 312148225 338104280 422630350 499437160 624296450 845260700 1248592900 1690521400 2497185800 3526300607 7052601214 14105202428 17631503035 28210404856 35263006070 70526012140 88157515175 141052024280 176315030350 352630060700 610050005011 705260121400 1220100010022 2440200020044 3050250025055 4880400040088 6100500050110 12201000100220 15251250125275 24402000200440 30502500250550 61005000501100 122010001002200