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12122442332 = 22711132232891
BaseRepresentation
bin10110100101000110…
…11100101001011100
31011021211111212122122
423102203130221130
5144311321123312
65322522002112
7606256026320
oct132243345134
934254455578
1012122442332
115160891390
122423946338
1311b2635300
1482ddb1980
154ae3a9b72
hex2d28dca5c

12122442332 has 72 divisors (see below), whose sum is σ = 28640126592. Its totient is φ = 4359700800.

The previous prime is 12122442317. The next prime is 12122442373. The reversal of 12122442332 is 23324422121.

12122442332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64394 + ... + 168497.

It is an arithmetic number, because the mean of its divisors is an integer number (397779536).

Almost surely, 212122442332 is an apocalyptic number.

It is an amenable number.

12122442332 is an abundant number, since it is smaller than the sum of its proper divisors (16517684260).

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

12122442332 is a wasteful number, since it uses less digits than its factorization.

12122442332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232939 (or 232924 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

Adding to 12122442332 its reverse (23324422121), we get a palindrome (35446864453).

It can be divided in two parts, 12122 and 442332, that added together give a palindrome (454454).

The spelling of 12122442332 in words is "twelve billion, one hundred twenty-two million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2366 3718 4004 4732 7436 13013 26026 52052 232891 465782 931564 1630237 2561801 3027583 3260474 5123602 6055166 6520948 10247204 12110332 17932607 21193081 33303413 35865214 39358579 42386162 66606826 71730428 78717158 84772324 133213652 157434316 233123891 275510053 432944369 466247782 551020106 865888738 932495564 1102040212 1731777476 3030610583 6061221166 12122442332