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12210001221 = 311237909091
BaseRepresentation
bin10110101111100010…
…11101010101000101
31011111221021022212110
423113301131111011
5200001230014341
65335330411233
7611401204125
oct132761352505
934457238773
1012210001221
1151a6255700
122449130b19
1311c78110c2
1483b884c85
154b6e03216
hex2d7c5d545

12210001221 has 24 divisors (see below), whose sum is σ = 18378203872. Its totient is φ = 7199992800.

The previous prime is 12210001213. The next prime is 12210001241.

12210001221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12210001221 - 23 = 12210001213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210001197 and 12210001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210001211) 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 23 ways as a sum of consecutive naturals, for example, 441115 + ... + 467976.

Almost surely, 212210001221 is an apocalyptic number.

12210001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210001221 is a deficient number, since it is larger than the sum of its proper divisors (6168202651).

12210001221 is a wasteful number, since it uses less digits than its factorization.

12210001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909153 (or 909142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1221000 and 1221, that added together give a palindrome (1222221).

The spelling of 12210001221 in words is "twelve billion, two hundred ten million, one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 909091 2727273 10000001 30000003 33636367 100909101 110000011 330000033 370000037 1110000111 4070000407 12210001221