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12112200112000 = 27532114917307
BaseRepresentation
bin1011000001000001011101…
…1000101001011110000000
31120212220201001101100110011
42300100113120221132000
53041421241212041000
641432133511514304
72360035416146452
oct260202730513600
946786631340404
1012112200112000
11394a83422069a
121437513388994
1369b23895a0c1
142dc33b06c2d2
151600ed2582ba
hexb0417629780

12112200112000 has 256 divisors, whose sum is σ = 30322449480960. Its totient is φ = 4811439360000.

The previous prime is 12112200111989. The next prime is 12112200112081. The reversal of 12112200112000 is 21100221121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657612347 + ... + 1657619653.

It is an arithmetic number, because the mean of its divisors is an integer number (118447068285).

Almost surely, 212112200112000 is an apocalyptic number.

12112200112000 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 12112200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161224740480).

12112200112000 is an abundant number, since it is smaller than the sum of its proper divisors (18210249368960).

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

12112200112000 is an equidigital number, since it uses as much as digits as its factorization.

12112200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112200112000 its reverse (21100221121), we get a palindrome (12133300333121).

The spelling of 12112200112000 in words is "twelve trillion, one hundred twelve billion, two hundred million, one hundred twelve thousand".