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12122022321 = 3241123726557
BaseRepresentation
bin10110100101000011…
…10110000110110001
31011021210201112111200
423102201312012301
5144311214203241
65322505001413
7606252326643
oct132241660661
934253645450
1012122022321
115160624872
122423783269
1311b2519096
1482dd02893
154ae3254b6
hex2d28761b1

12122022321 has 24 divisors (see below), whose sum is σ = 17951826984. Its totient is φ = 7877571840.

The previous prime is 12122022317. The next prime is 12122022383. The reversal of 12122022321 is 12322022121.

12122022321 is a `hidden beast` number, since 121 + 220 + 2 + 2 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578883600 + 11543138721 = 24060^2 + 107439^2 .

It is not a de Polignac number, because 12122022321 - 22 = 12122022317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122022294 and 12122022303.

It is not an unprimeable number, because it can be changed into a prime (12122022221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443175 + ... + 469731.

It is an arithmetic number, because the mean of its divisors is an integer number (747992791).

Almost surely, 212122022321 is an apocalyptic number.

It is an amenable number.

12122022321 is a deficient number, since it is larger than the sum of its proper divisors (5829804663).

12122022321 is a wasteful number, since it uses less digits than its factorization.

12122022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27841 (or 27838 counting only the distinct ones).

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

Adding to 12122022321 its reverse (12322022121), we get a palindrome (24444044442).

The spelling of 12122022321 in words is "twelve billion, one hundred twenty-two million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 1237 3711 11133 26557 50717 79671 152151 239013 456453 1088837 3266511 9799533 32851009 98553027 295659081 1346891369 4040674107 12122022321