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12112899846912 = 28334174357527
BaseRepresentation
bin1011000001000100000100…
…0101111011001100000000
31120212222111211001120022000
42300101001011323030000
53041424204330100122
641432331145344000
72360061643615104
oct260210105731400
946788454046260
1012112899846912
1139500631a9907
121437689798000
1369b31a905927
142dc3a5d77904
1516013e8c70ac
hexb044117b300

12112899846912 has 288 divisors, whose sum is σ = 36743658255360. Its totient is φ = 3933784350720.

The previous prime is 12112899846899. The next prime is 12112899846917. The reversal of 12112899846912 is 21964899821121.

12112899846912 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 89 + 98 + 469 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12112899846912.

It is not an unprimeable number, because it can be changed into a prime (12112899846917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210531493 + ... + 210589019.

It is an arithmetic number, because the mean of its divisors is an integer number (127582146720).

Almost surely, 212112899846912 is an apocalyptic number.

12112899846912 is a gapful number since it is divisible by the number (12) 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 12112899846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371829127680).

12112899846912 is an abundant number, since it is smaller than the sum of its proper divisors (24630758408448).

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

12112899846912 is an equidigital number, since it uses as much as digits as its factorization.

12112899846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58336 (or 58316 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 12112899846912 in words is "twelve trillion, one hundred twelve billion, eight hundred ninety-nine million, eight hundred forty-six thousand, nine hundred twelve".