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12222130221 = 327227714581
BaseRepresentation
bin10110110000111111…
…01110100000101101
31011112210002112201200
423120133232200231
5200012331131341
65340442400113
7611606251500
oct133037564055
934483075650
1012222130221
11520208a374
122451200039
1311ca199a22
1483d321137
154b7eebdb6
hex2d87ee82d

12222130221 has 18 divisors (see below), whose sum is σ = 20536505262. Its totient is φ = 6984074160.

The previous prime is 12222130213. The next prime is 12222130267. The reversal of 12222130221 is 12203122221.

12222130221 is a `hidden beast` number, since 122 + 221 + 302 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6912093321 + 5310036900 = 83139^2 + 72870^2 .

It is not a de Polignac number, because 12222130221 - 23 = 12222130213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222130194 and 12222130203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222130201) 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 17 ways as a sum of consecutive naturals, for example, 13856850 + ... + 13857731.

It is an arithmetic number, because the mean of its divisors is an integer number (1140916959).

Almost surely, 212222130221 is an apocalyptic number.

It is an amenable number.

12222130221 is a deficient number, since it is larger than the sum of its proper divisors (8314375041).

12222130221 is a wasteful number, since it uses less digits than its factorization.

12222130221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27714601 (or 27714591 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222130221 its reverse (12203122221), we get a palindrome (24425252442).

The spelling of 12222130221 in words is "twelve billion, two hundred twenty-two million, one hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 27714581 83143743 194002067 249431229 582006201 1358014469 1746018603 4074043407 12222130221