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12211221330 = 232571113113451
BaseRepresentation
bin10110101111101100…
…00111001101010010
31011112000120022112200
423113312013031102
5200002033040310
65335412504030
7611414445240
oct132766071522
934460508480
1012211221330
1151a6a09360
12244961b016
1311c7b4a569
1483bac1790
154b70949c0
hex2d7d87352

12211221330 has 192 divisors, whose sum is σ = 39888516096. Its totient is φ = 2517840000.

The previous prime is 12211221317. The next prime is 12211221349. The reversal of 12211221330 is 3312211221.

It is a super-2 number, since 2×122112213302 (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901105 + ... + 914555.

It is an arithmetic number, because the mean of its divisors is an integer number (207752688).

Almost surely, 212211221330 is an apocalyptic number.

12211221330 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 12211221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944258048).

12211221330 is an abundant number, since it is smaller than the sum of its proper divisors (27677294766).

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

12211221330 is a wasteful number, since it uses less digits than its factorization.

12211221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13613 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211221330 its reverse (3312211221), we get a palindrome (15523432551).

The spelling of 12211221330 in words is "twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred thirty".