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12222111220 = 22511232105019
BaseRepresentation
bin10110110000111111…
…01001110111110100
31011112210001120122221
423120133221313310
5200012330024340
65340442132124
7611606142214
oct133037516764
934483046587
1012222111220
115202077070
1224511b1044
1311ca191197
1483d318244
154b7ee644a
hex2d87e9df4

12222111220 has 72 divisors (see below), whose sum is σ = 29270334240. Its totient is φ = 4251128640.

The previous prime is 12222111217. The next prime is 12222111227. The reversal of 12222111220 is 2211122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12222111194 and 12222111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222111227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63871 + ... + 168889.

It is an arithmetic number, because the mean of its divisors is an integer number (406532420).

Almost surely, 212222111220 is an apocalyptic number.

12222111220 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 12222111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635167120).

12222111220 is an abundant number, since it is smaller than the sum of its proper divisors (17048223020).

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

12222111220 is a wasteful number, since it uses less digits than its factorization.

12222111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105085 (or 105060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222111220 its reverse (2211122221), we get a palindrome (14433233441).

The spelling of 12222111220 in words is "twelve billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 529 1012 1058 1265 2116 2530 2645 5060 5290 5819 10580 11638 23276 29095 58190 105019 116380 210038 420076 525095 1050190 1155209 2100380 2310418 2415437 4620836 4830874 5776045 9661748 11552090 12077185 23104180 24154370 26569807 48308740 53139614 55555051 106279228 111110102 132849035 222220204 265698070 277775255 531396140 555550510 611105561 1111101020 1222211122 2444422244 3055527805 6111055610 12222111220