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12122324203401 = 3213734737097639
BaseRepresentation
bin1011000001100111001011…
…0100111111011110001001
31120220212211121122110222100
42300121302310333132021
53042103004444002101
641440530250144013
72360544331413066
oct260316264773611
946825747573870
1012122324203401
113954059a91385
121439479a22009
1369c190274829
142dca1b893c6d
151604e1e78e86
hexb0672d3f789

12122324203401 has 48 divisors (see below), whose sum is σ = 17695749052800. Its totient is φ = 7996236620544.

The previous prime is 12122324203343. The next prime is 12122324203417. The reversal of 12122324203401 is 10430242322121.

12122324203401 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 232 + 4 + 20 + 3 + 401 = 666.

It is not a de Polignac number, because 12122324203401 - 218 = 12122323941257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122324203901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586895540 + ... + 1586903178.

It is an arithmetic number, because the mean of its divisors is an integer number (368661438600).

Almost surely, 212122324203401 is an apocalyptic number.

It is an amenable number.

12122324203401 is a deficient number, since it is larger than the sum of its proper divisors (5573424849399).

12122324203401 is a wasteful number, since it uses less digits than its factorization.

12122324203401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12122324203401 its reverse (10430242322121), we get a palindrome (22552566525522).

It can be divided in two parts, 121223 and 24203401, that added together give a square (24324624 = 49322).

The spelling of 12122324203401 in words is "twelve trillion, one hundred twenty-two billion, three hundred twenty-four million, two hundred three thousand, four hundred one".

Divisors: 1 3 9 137 347 411 1041 1233 3123 3709 7639 11127 22917 33381 47539 68751 142617 427851 508133 1046543 1287023 1524399 2650733 3139629 3861069 4573197 7952199 9418887 11583207 23856597 28333051 84999153 176322151 254997459 363150421 528966453 1089451263 1586899359 3268353789 3881627987 9831568697 11644883961 29494706091 34934651883 88484118273 1346924911489 4040774734467 12122324203401