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12122203312232 = 2313541797270329
BaseRepresentation
bin1011000001100110101110…
…0111110101000001101000
31120220212112012011120110122
42300121223213311001220
53042102233021442412
641440510251102412
72360541333020516
oct260315347650150
946825465146418
1012122203312232
113953aa7821022
121439445441a08
1369c1711c80b0
142dca097c54b6
151604d6549572
hexb066b9f5068

12122203312232 has 64 divisors (see below), whose sum is σ = 24553630558800. Its totient is φ = 5577493800960.

The previous prime is 12122203312231. The next prime is 12122203312253. The reversal of 12122203312232 is 23221330222121.

It can be written as a sum of positive squares in 8 ways, for example, as 1517710658116 + 10604492654116 = 1231954^2 + 3256454^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12122203312231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44707244 + ... + 44977572.

Almost surely, 212122203312232 is an apocalyptic number.

It is an amenable number.

12122203312232 is an abundant number, since it is smaller than the sum of its proper divisors (12431427246568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122203312232 is a wasteful number, since it uses less digits than its factorization.

12122203312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271686 (or 271682 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12122203312232 its reverse (23221330222121), we get a palindrome (35343533534353).

The spelling of 12122203312232 in words is "twelve trillion, one hundred twenty-two billion, two hundred three million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 541 797 1082 1594 2164 3188 4328 6376 7033 10361 14066 20722 28132 41444 56264 82888 270329 431177 540658 862354 1081316 1724708 2162632 3449416 3514277 5605301 7028554 11210602 14057108 22421204 28114216 44842408 146247989 215452213 292495978 430904426 584991956 861808852 1169983912 1723617704 1901223857 2800878769 3802447714 5601757538 7604895428 11203515076 15209790856 22407030152 116559647233 233119294466 466238588932 932477177864 1515275414029 3030550828058 6061101656116 12122203312232