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12222122130 = 2335433104543
BaseRepresentation
bin10110110000111111…
…01100100010010010
31011112210002010122000
423120133230202102
5200012330402010
65340442254430
7611606216061
oct133037544222
934483063560
1012222122130
115202084289
1224511b7416
1311ca19613a
1483d31c1d8
154b7ee97c0
hex2d87ec892

12222122130 has 64 divisors (see below), whose sum is σ = 32667909120. Its totient is φ = 3251674368.

The previous prime is 12222122083. The next prime is 12222122147. The reversal of 12222122130 is 3122122221.

12222122130 is digitally balanced in base 2, 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 (18).

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 31 ways as a sum of consecutive naturals, for example, 64639 + ... + 169181.

It is an arithmetic number, because the mean of its divisors is an integer number (510436080).

Almost surely, 212222122130 is an apocalyptic number.

12222122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

12222122130 is an abundant number, since it is smaller than the sum of its proper divisors (20445786990).

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

12222122130 is a wasteful number, since it uses less digits than its factorization.

12222122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104992 (or 104986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222122130 its reverse (3122122221), we get a palindrome (15344244351).

Subtracting from 12222122130 its reverse (3122122221), we obtain a palindrome (9099999909).

The spelling of 12222122130 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 433 866 1299 2165 2598 3897 4330 6495 7794 11691 12990 19485 23382 38970 58455 104543 116910 209086 313629 522715 627258 940887 1045430 1568145 1881774 2822661 3136290 4704435 5645322 9408870 14113305 28226610 45267119 90534238 135801357 226335595 271602714 407404071 452671190 679006785 814808142 1222212213 1358013570 2037020355 2444424426 4074040710 6111061065 12222122130