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12222211122 = 2331139751829
BaseRepresentation
bin10110110001000000…
…00010010000110010
31011112210020122201000
423120200002100302
5200012341223442
65340444222430
7611610036402
oct133040022062
934483218630
1012222211122
115202135130
12245123aa16
1311ca1c77b4
1483d342802
154b8015d4c
hex2d8802432

12222211122 has 64 divisors (see below), whose sum is σ = 29704809600. Its totient is φ = 3694299840.

The previous prime is 12222211097. The next prime is 12222211123. The reversal of 12222211122 is 22111222221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12222211095 and 12222211104.

It is not an unprimeable number, because it can be changed into a prime (12222211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209904 + ... + 261732.

It is an arithmetic number, because the mean of its divisors is an integer number (464137650).

Almost surely, 212222211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852404800).

12222211122 is an abundant number, since it is smaller than the sum of its proper divisors (17482598478).

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

12222211122 is a wasteful number, since it uses less digits than its factorization.

12222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52248 (or 52242 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12222211122 its reverse (22111222221), we get a palindrome (34333433343).

The spelling of 12222211122 in words is "twelve billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 397 594 794 1191 2382 3573 4367 7146 8734 10719 13101 21438 26202 39303 51829 78606 103658 117909 155487 235818 310974 466461 570119 932922 1140238 1399383 1710357 2798766 3420714 5131071 10262142 15393213 20576113 30786426 41152226 61728339 123456678 185185017 226337243 370370034 452674486 555555051 679011729 1111110102 1358023458 2037035187 4074070374 6111105561 12222211122