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12210111200001 = 31113192635695777
BaseRepresentation
bin1011000110101110001101…
…0101110011101100000001
31121020021102122100222010210
42301223203111303230001
53100022301431400001
641545125254144333
72400102636521511
oct261534325635401
947207378328123
1012210111200001
113988308501240
1214524996520a9
136a7540761830
14302d888cb841
1516292ddbadd6
hexb1ae3573b01

12210111200001 has 64 divisors (see below), whose sum is σ = 20209531668480. Its totient is φ = 6446707107840.

The previous prime is 12210111199991. The next prime is 12210111200011. The reversal of 12210111200001 is 10000211101221.

12210111200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12210111199991) and next prime (12210111200011).

It is not a de Polignac number, because 12210111200001 - 214 = 12210111183617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12210111200001.

It is not an unprimeable number, because it can be changed into a prime (12210111200011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704176 + ... + 4991601.

It is an arithmetic number, because the mean of its divisors is an integer number (315773932320).

Almost surely, 212210111200001 is an apocalyptic number.

12210111200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210111200001 is a deficient number, since it is larger than the sum of its proper divisors (7999420468479).

12210111200001 is a wasteful number, since it uses less digits than its factorization.

12210111200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696086.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210111200001 its reverse (10000211101221), we get a palindrome (22210322301222).

The spelling of 12210111200001 in words is "twelve trillion, two hundred ten billion, one hundred eleven million, two hundred thousand, one".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 263 429 627 741 789 2717 2893 3419 4997 8151 8679 10257 14991 37609 54967 64961 112827 164901 194883 714571 2143713 5695777 17087331 62653547 74045101 108219763 187960641 222135303 324659289 814496111 1190417393 1406856919 1497989351 2443488333 3571252179 4220570757 4493968053 15475426109 16477882861 19473861563 28461797669 46426278327 49433648583 58421584689 85385393007 214212477193 313079774359 370003369697 642637431579 939239323077 1110010109091 4070037066667 12210111200001