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122010002200 = 235213935312433
BaseRepresentation
bin111000110100001011…
…1001110001100011000
3102122221002100022011101
41301220113032030120
53444334030032300
6132014533441144
711546343623062
oct1615027161430
9378832308141
10122010002200
1147820513569
121b790aa01b4
13b675754298
145c96286732
153291691b6a
hex1c685ce318

122010002200 has 96 divisors (see below), whose sum is σ = 286546503600. Its totient is φ = 48311746560.

The previous prime is 122010002141. The next prime is 122010002227. The reversal of 122010002200 is 2200010221.

122010002200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 9807184 + ... + 9819616.

Almost surely, 2122010002200 is an apocalyptic number.

122010002200 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 122010002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143273251800).

122010002200 is an abundant number, since it is smaller than the sum of its proper divisors (164536501400).

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

122010002200 is a wasteful number, since it uses less digits than its factorization.

122010002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122010002200 its reverse (2200010221), we get a palindrome (124210012421).

The spelling of 122010002200 in words is "one hundred twenty-two billion, ten million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 353 556 695 706 1112 1390 1412 1765 2780 2824 3475 3530 5560 6950 7060 8825 12433 13900 14120 17650 24866 27800 35300 49067 49732 62165 70600 98134 99464 124330 196268 245335 248660 310825 392536 490670 497320 621650 981340 1226675 1243300 1728187 1962680 2453350 2486600 3456374 4388849 4906700 6912748 8640935 8777698 9813400 13825496 17281870 17555396 21944245 34563740 35110792 43204675 43888490 69127480 86409350 87776980 109721225 172818700 175553960 219442450 345637400 438884900 610050011 877769800 1220100022 2440200044 3050250055 4880400088 6100500110 12201000220 15251250275 24402000440 30502500550 61005001100 122010002200