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12212112000011 = 711473374443769
BaseRepresentation
bin1011000110110101101010…
…0110010000010000001011
31121020110121002020010202212
42301231122212100100023
53100040401133000021
641550100010215335
72400203343164630
oct261553246202013
947213532203685
1012212112000011
113989144944970
12145295772454b
136a779c129071
143030d8514187
151629e988a85b
hexb1b5a99040b

12212112000011 has 16 divisors (see below), whose sum is σ = 15549436892160. Its totient is φ = 9313464799680.

The previous prime is 12212111999977. The next prime is 12212112000041. The reversal of 12212112000011 is 11000021121221.

It is a cyclic number.

It is not a de Polignac number, because 12212112000011 - 214 = 12212111983627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12212112000011.

It is not an unprimeable number, because it can be changed into a prime (12212112000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687218266 + ... + 1687225503.

It is an arithmetic number, because the mean of its divisors is an integer number (971839805760).

Almost surely, 212212112000011 is an apocalyptic number.

12212112000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12212112000011 is a deficient number, since it is larger than the sum of its proper divisors (3337324892149).

12212112000011 is a wasteful number, since it uses less digits than its factorization.

12212112000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374443834.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12212112000011 its reverse (11000021121221), we get a palindrome (23212133121232).

The spelling of 12212112000011 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, eleven", and thus it is an aban number.

Divisors: 1 7 11 47 77 329 517 3619 3374443769 23621106383 37118881459 158598857143 259832170213 1110192000001 1744587428573 12212112000011