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12231121313100 = 223521729374359881
BaseRepresentation
bin1011000111111100011110…
…1001000001110101001100
31121022021122212121022001210
42301333013221001311030
53100343314024004400
642002522145534420
72401445405526534
oct261770751016514
947267585538053
1012231121313100
11399620a131178
121456581944410
136a950b4a7811
14303dbcdd44c4
1516325d664950
hexb1fc7a41d4c

12231121313100 has 1152 divisors, whose sum is σ = 41473395532800. Its totient is φ = 2765861683200.

The previous prime is 12231121313087. The next prime is 12231121313179. The reversal of 12231121313100 is 131312113221.

It is a super-2 number, since 2×122311213131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13883224660 + ... + 13883225540.

It is an arithmetic number, because the mean of its divisors is an integer number (36001211400).

Almost surely, 212231121313100 is an apocalyptic number.

12231121313100 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 12231121313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736697766400).

12231121313100 is an abundant number, since it is smaller than the sum of its proper divisors (29242274219700).

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

12231121313100 is a wasteful number, since it uses less digits than its factorization.

12231121313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12231121313100 its reverse (131312113221), we get a palindrome (12362433426321).

The spelling of 12231121313100 in words is "twelve trillion, two hundred thirty-one billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred".