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12212002220221 = 19311097120115737
BaseRepresentation
bin1011000110110101010000…
…0011011110100010111101
31121020110022102122202012201
42301231110003132202331
53100040140032021341
641550041045231501
72400200541111136
oct261552403364275
947213272582181
1012212002220221
113989098983771
121452926a02591
136a778246cccb
143030c7ad8c8d
151629dee03331
hexb1b540de8bd

12212002220221 has 32 divisors (see below), whose sum is σ = 13293407646720. Its totient is φ = 11175833088000.

The previous prime is 12212002220203. The next prime is 12212002220269. The reversal of 12212002220221 is 12202220021221.

It is a cyclic number.

It is not a de Polignac number, because 12212002220221 - 211 = 12212002218173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212002220291) 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 31 ways as a sum of consecutive naturals, for example, 775997865 + ... + 776013601.

It is an arithmetic number, because the mean of its divisors is an integer number (415418988960).

Almost surely, 212212002220221 is an apocalyptic number.

It is an amenable number.

12212002220221 is a deficient number, since it is larger than the sum of its proper divisors (1081405426499).

12212002220221 is a wasteful number, since it uses less digits than its factorization.

12212002220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18085.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12212002220221 its reverse (12202220021221), we get a palindrome (24414222241442).

The spelling of 12212002220221 in words is "twelve trillion, two hundred twelve billion, two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 19 31 589 1097 1201 15737 20843 22819 34007 37231 299003 487847 646133 707389 1317497 9269093 17263489 18900137 25032443 40842407 328006291 359102603 535168159 585904247 776005733 10168195021 11132180693 20733450289 393935555491 642736958959 12212002220221