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12222102221100 = 223252241359315683
BaseRepresentation
bin1011000111011010111000…
…0011111011000100101100
31121021102101022120221202100
42301312232003323010230
53100221331132033400
641554431203255100
72401006041520632
oct261665603730454
947242338527670
1012222102221100
11399240108a932
12145488537a490
136a8701aa14a5
143037a524d352
15162dd1966100
hexb1dae0fb12c

12222102221100 has 216 divisors, whose sum is σ = 38481621049872. Its totient is φ = 3244593254400.

The previous prime is 12222102221057. The next prime is 12222102221137. The reversal of 12222102221100 is 112220122221.

It is a happy number.

12222102221100 is a `hidden beast` number, since 1 + 222 + 210 + 2 + 221 + 10 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 779313859 + ... + 779329541.

Almost surely, 212222102221100 is an apocalyptic number.

12222102221100 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 12222102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240810524936).

12222102221100 is an abundant number, since it is smaller than the sum of its proper divisors (26259518828772).

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

12222102221100 is a wasteful number, since it uses less digits than its factorization.

12222102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19537 (or 19527 counting only the distinct ones).

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

Adding to 12222102221100 its reverse (112220122221), we get a palindrome (12334322343321).

The spelling of 12222102221100 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred".