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12222112111000 = 23531123110132261
BaseRepresentation
bin1011000111011010111010…
…1001101001100110011000
31121021102102000012102010221
42301312232221221212120
53100221341200023000
641554432155245424
72401006221551311
oct261665651514630
947242360172127
1012222112111000
113992406725300
121454888749874
136a8703b54bbc
143037a66a5608
15162dd276b61a
hexb1daea69998

12222112111000 has 384 divisors, whose sum is σ = 32772451944960. Its totient is φ = 4258320000000.

The previous prime is 12222112110983. The next prime is 12222112111129. The reversal of 12222112111000 is 11121122221.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 378834870 + ... + 378867130.

It is an arithmetic number, because the mean of its divisors is an integer number (85344926940).

Almost surely, 212222112111000 is an apocalyptic number.

12222112111000 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 12222112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386225972480).

12222112111000 is an abundant number, since it is smaller than the sum of its proper divisors (20550339833960).

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

12222112111000 is a wasteful number, since it uses less digits than its factorization.

12222112111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12222112111000 its reverse (11121122221), we get a palindrome (12233233233221).

It can be divided in two parts, 122221 and 12111000, that added together give a palindrome (12233221).

The spelling of 12222112111000 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand".