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12212112111000 = 2335373974671231
BaseRepresentation
bin1011000110110101101010…
…0110101011010110011000
31121020110121002102210000120
42301231122212223112120
53100040401200023000
641550100012433240
72400203344136334
oct261553246532630
947213532383016
1012212112111000
113989144a1029a
121452957778820
136a779c167739
143030d85427c4
151629e98ad6a0
hexb1b5a9ab598

12212112111000 has 512 divisors, whose sum is σ = 39137240862720. Its totient is φ = 3169456128000.

The previous prime is 12212112110993. The next prime is 12212112111007. The reversal of 12212112111000 is 11121121221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12212112110993) and next prime (12212112111007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212112111007) 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 127 ways as a sum of consecutive naturals, for example, 9920480385 + ... + 9920481615.

It is an arithmetic number, because the mean of its divisors is an integer number (76439923560).

Almost surely, 212212112111000 is an apocalyptic number.

12212112111000 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 12212112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568620431360).

12212112111000 is an abundant number, since it is smaller than the sum of its proper divisors (26925128751720).

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

12212112111000 is a wasteful number, since it uses less digits than its factorization.

12212112111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212112111000 its reverse (11121121221), we get a palindrome (12223233232221).

The spelling of 12212112111000 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred eleven thousand".