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12121202220 = 22353710875023
BaseRepresentation
bin10110100100111101…
…01101111000101100
31011021202011212112120
423102132231320230
5144311011432340
65322435232540
7606242342661
oct132236557054
934252155476
1012121202220
1151601146a6
122423448750
1311b22bca0a
1482db6ba68
154ae2124d0
hex2d27ade2c

12121202220 has 96 divisors (see below), whose sum is σ = 34895659008. Its totient is φ = 3141441792.

The previous prime is 12121202201. The next prime is 12121202279. The reversal of 12121202220 is 2220212121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12121202220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2410629 + ... + 2415651.

It is an arithmetic number, because the mean of its divisors is an integer number (363496448).

Almost surely, 212121202220 is an apocalyptic number.

12121202220 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 12121202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447829504).

12121202220 is an abundant number, since it is smaller than the sum of its proper divisors (22774456788).

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

12121202220 is a wasteful number, since it uses less digits than its factorization.

12121202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12121202220 its reverse (2220212121), we get a palindrome (14341414341).

Subtracting from 12121202220 its reverse (2220212121), we obtain a palindrome (9900990099).

The spelling of 12121202220 in words is "twelve billion, one hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1087 1110 2174 2220 3261 4348 5023 5435 6522 10046 10870 13044 15069 16305 20092 21740 25115 30138 32610 40219 50230 60276 65220 75345 80438 100460 120657 150690 160876 185851 201095 241314 301380 371702 402190 482628 557553 603285 743404 804380 929255 1115106 1206570 1858510 2230212 2413140 2787765 3717020 5460001 5575530 10920002 11151060 16380003 21840004 27300005 32760006 54600010 65520012 81900015 109200020 163800030 202020037 327600060 404040074 606060111 808080148 1010100185 1212120222 2020200370 2424240444 3030300555 4040400740 6060601110 12121202220