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12212330301 = 322791486179
BaseRepresentation
bin10110101111110100…
…10101111100111101
31011112002122122202200
423113322111330331
5200002324032201
65335452342113
7611430044343
oct132772257475
934462578680
1012212330301
1151a75a6566
122449a74939
1311c8148262
1483bccd993
154b7213386
hex2d7e95f3d

12212330301 has 12 divisors (see below), whose sum is σ = 17646389280. Its totient is φ = 8138619720.

The previous prime is 12212330293. The next prime is 12212330303. The reversal of 12212330301 is 10303321221.

12212330301 is a `hidden beast` number, since 1 + 22 + 12 + 330 + 301 = 666.

It is not a de Polignac number, because 12212330301 - 23 = 12212330293 is a prime.

It is a super-3 number, since 3×122123303013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212330303) 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 11 ways as a sum of consecutive naturals, for example, 217971 + ... + 268208.

It is an arithmetic number, because the mean of its divisors is an integer number (1470532440).

Almost surely, 212212330301 is an apocalyptic number.

It is an amenable number.

12212330301 is a deficient number, since it is larger than the sum of its proper divisors (5434058979).

12212330301 is a wasteful number, since it uses less digits than its factorization.

12212330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488976 (or 488973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12212330301 its reverse (10303321221), we get a palindrome (22515651522).

The spelling of 12212330301 in words is "twelve billion, two hundred twelve million, three hundred thirty thousand, three hundred one".

Divisors: 1 3 9 2791 8373 25119 486179 1458537 4375611 1356925589 4070776767 12212330301