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12210112202211 = 3271117619209527
BaseRepresentation
bin1011000110101110001101…
…1001101000010111100011
31121020021102201020212220200
42301223203121220113203
53100022302210432321
641545125331440243
72400102651164430
oct261534331502743
947207381225820
1012210112202211
113988309026210
121452499a56083
136a7540a22a61
14302d88aacb87
1516292e017d26
hexb1ae36685e3

12210112202211 has 24 divisors (see below), whose sum is σ = 21988773490944. Its totient is φ = 6342915429360.

The previous prime is 12210112202207. The next prime is 12210112202333. The reversal of 12210112202211 is 11220221101221.

12210112202211 is a `hidden beast` number, since 1 + 2 + 210 + 11 + 220 + 221 + 1 = 666.

It is not a de Polignac number, because 12210112202211 - 22 = 12210112202207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12210112201211) 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 23 ways as a sum of consecutive naturals, for example, 8809604071 + ... + 8809605456.

It is an arithmetic number, because the mean of its divisors is an integer number (916198895456).

Almost surely, 212210112202211 is an apocalyptic number.

12210112202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12210112202211 is a deficient number, since it is larger than the sum of its proper divisors (9778661288733).

12210112202211 is a wasteful number, since it uses less digits than its factorization.

12210112202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619209551 (or 17619209548 counting only the distinct ones).

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

Adding to 12210112202211 its reverse (11220221101221), we get a palindrome (23430333303432).

The spelling of 12210112202211 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 17619209527 52857628581 123334466689 158572885743 193811304797 370003400067 581433914391 1110010200201 1356679133579 1744301743173 4070037400737 12210112202211