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12212111011100 = 225271113246320269
BaseRepresentation
bin1011000110110101101010…
…0010011110110100011100
31121020110121000100220020112
42301231122202132310130
53100040400404323400
641550055533105152
72400203331605540
oct261553242366434
947213530326215
1012212111011100
113989144329990
1214529573281b8
136a779bb70c00
143030d8337a20
151629e9742835
hexb1b5a89ed1c

12212111011100 has 432 divisors, whose sum is σ = 35855335111680. Its totient is φ = 3505812710400.

The previous prime is 12212111011099. The next prime is 12212111011103. The reversal of 12212111011100 is 111011121221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212111011103) 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 143 ways as a sum of consecutive naturals, for example, 602491766 + ... + 602512034.

Almost surely, 212212111011100 is an apocalyptic number.

12212111011100 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 12212111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927667555840).

12212111011100 is an abundant number, since it is smaller than the sum of its proper divisors (23643224100580).

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

12212111011100 is a wasteful number, since it uses less digits than its factorization.

12212111011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20790 (or 20770 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12212111011100 its reverse (111011121221), we get a palindrome (12323122132321).

The spelling of 12212111011100 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, eleven thousand, one hundred".