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12112320313200 = 2435219881602999
BaseRepresentation
bin1011000001000001111010…
…0011001011011101110000
31120212221000102120012111110
42300100132203023131300
53041422013000010300
641432153444113320
72360041405636332
oct260203643133560
946787012505443
1012112320313200
11394a89605a628
121437547695840
1369b257824783
142dc34cddb452
15160108a9d550
hexb041e8cb770

12112320313200 has 240 divisors, whose sum is σ = 40888320480000. Its totient is φ = 3056476262400.

The previous prime is 12112320313169. The next prime is 12112320313211. The reversal of 12112320313200 is 231302321121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19785301 + ... + 20388299.

It is an arithmetic number, because the mean of its divisors is an integer number (170368002000).

Almost surely, 212112320313200 is an apocalyptic number.

12112320313200 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 12112320313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444160240000).

12112320313200 is an abundant number, since it is smaller than the sum of its proper divisors (28776000166800).

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

12112320313200 is a wasteful number, since it uses less digits than its factorization.

12112320313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603920 (or 603909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12112320313200 its reverse (231302321121), we get a palindrome (12343622634321).

The spelling of 12112320313200 in words is "twelve trillion, one hundred twelve billion, three hundred twenty million, three hundred thirteen thousand, two hundred".