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12231121100 = 22521192911969
BaseRepresentation
bin10110110010000100…
…00001100011001100
31011120102000022220012
423121002001203030
5200022131333400
65341403212352
7612045546122
oct133102014314
934512008805
1012231121100
115207170350
1224542170b8
1311cbcc7183
148405c1912
154b8bc5d35
hex2d90818cc

12231121100 has 72 divisors (see below), whose sum is σ = 28987988400. Its totient is φ = 4442521600.

The previous prime is 12231121051. The next prime is 12231121129. The reversal of 12231121100 is 112113221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015916 + ... + 1027884.

It is an arithmetic number, because the mean of its divisors is an integer number (402610950).

Almost surely, 212231121100 is an apocalyptic number.

12231121100 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 12231121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493994200).

12231121100 is an abundant number, since it is smaller than the sum of its proper divisors (16756867300).

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

12231121100 is a wasteful number, since it uses less digits than its factorization.

12231121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12231121100 its reverse (112113221), we get a palindrome (12343234321).

It can be divided in two parts, 12231 and 121100, that added together give a palindrome (133331).

The spelling of 12231121100 in words is "twelve billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 929 1100 1858 3716 4645 9290 10219 11969 18580 20438 23225 23938 40876 46450 47876 51095 59845 92900 102190 119690 131659 204380 239380 255475 263318 299225 510950 526636 598450 658295 1021900 1196900 1316590 2633180 3291475 6582950 11119201 13165900 22238402 44476804 55596005 111192010 122311211 222384020 244622422 277980025 489244844 555960050 611556055 1111920100 1223112110 2446224220 3057780275 6115560550 12231121100