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12121221100212 = 22327237892086681
BaseRepresentation
bin1011000001100011000100…
…0100111111001010110100
31120220202222201222000212200
42300120301010333022310
53042043230100201322
641440225002544500
72360505105243600
oct260306104771264
946822881860780
1012121221100212
113953643347654
121439210508130
1369c045878553
142dc955188500
1516047a1cd8ac
hexb063113f2b4

12121221100212 has 216 divisors, whose sum is σ = 37016778806280. Its totient is φ = 3331743528960.

The previous prime is 12121221100151. The next prime is 12121221100217. The reversal of 12121221100212 is 21200112212121.

12121221100212 is a `hidden beast` number, since 12 + 121 + 221 + 100 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1116834694416 + 11004386405796 = 1056804^2 + 3317286^2 .

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 (12121221100217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4765512 + ... + 6852192.

It is an arithmetic number, because the mean of its divisors is an integer number (171373975955).

Almost surely, 212121221100212 is an apocalyptic number.

12121221100212 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 12121221100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508389403140).

12121221100212 is an abundant number, since it is smaller than the sum of its proper divisors (24895557706068).

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

12121221100212 is a wasteful number, since it uses less digits than its factorization.

12121221100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086831 (or 2086819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121221100212 its reverse (21200112212121), we get a palindrome (33321333312333).

The spelling of 12121221100212 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, two hundred twelve".