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12112201313300 = 225211214918137117
BaseRepresentation
bin1011000001000001011101…
…1101001110110000010100
31120212220201010122101022202
42300100113131032300110
53041421242014011200
641432133553344032
72360035432312004
oct260202735166024
946786633571282
1012112201313300
11394a834971200
121437513868018
1369b238c8ab2a
142dc33b2a2004
151600ed3e41d5
hexb041774ec14

12112201313300 has 216 divisors, whose sum is σ = 29245468925400. Its totient is φ = 4350589056000.

The previous prime is 12112201313299. The next prime is 12112201313321. The reversal of 12112201313300 is 331310221121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9110340135556 + 3001861177744 = 3018334^2 + 1732588^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 326306342 + ... + 326343458.

Almost surely, 212112201313300 is an apocalyptic number.

12112201313300 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 12112201313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622734462700).

12112201313300 is an abundant number, since it is smaller than the sum of its proper divisors (17133267612100).

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

12112201313300 is a wasteful number, since it uses less digits than its factorization.

12112201313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37483 (or 37465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12112201313300 its reverse (331310221121), we get a palindrome (12443511534421).

The spelling of 12112201313300 in words is "twelve trillion, one hundred twelve billion, two hundred one million, three hundred thirteen thousand, three hundred".