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12112210222200 = 233352112696911097
BaseRepresentation
bin1011000001000001011111…
…1111001101110001111000
31120212220201202102000001000
42300100113333031301320
53041421301304102300
641432134512325000
72360035601115324
oct260202777156170
946786652360030
1012112210222200
11394a8399a6630
121437516843760
1369b23aa89b7a
142dc33c540984
151600ee0a3c00
hexb0417fcdc78

12112210222200 has 768 divisors, whose sum is σ = 45789551424000. Its totient is φ = 2918481408000.

The previous prime is 12112210222171. The next prime is 12112210222207. The reversal of 12112210222200 is 222201221121.

It is a happy number.

12112210222200 is a `hidden beast` number, since 1 + 21 + 1 + 221 + 0 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112210222207) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 11041212052 + ... + 11041213148.

It is an arithmetic number, because the mean of its divisors is an integer number (59621811750).

Almost surely, 212112210222200 is an apocalyptic number.

12112210222200 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 12112210222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22894775712000).

12112210222200 is an abundant number, since it is smaller than the sum of its proper divisors (33677341201800).

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

12112210222200 is a wasteful number, since it uses less digits than its factorization.

12112210222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12112210222200 its reverse (222201221121), we get a palindrome (12334411443321).

The spelling of 12112210222200 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, two hundred".