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12122441430 = 23511175340771
BaseRepresentation
bin10110100101000110…
…11100011011010110
31011021211111211102020
423102203130123112
5144311321111210
65322521554010
7606256023561
oct132243343326
934254454366
1012122441430
115160890740
122423945906
1311b2634a88
1482ddb14d8
154ae3a9770
hex2d28dc6d6

12122441430 has 128 divisors (see below), whose sum is σ = 34240651776. Its totient is φ = 2713651200.

The previous prime is 12122441411. The next prime is 12122441437. The reversal of 12122441430 is 3414422121.

It is a self number, because there is not a number n which added to its sum of digits gives 12122441430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122441437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276945 + ... + 317715.

It is an arithmetic number, because the mean of its divisors is an integer number (267505092).

Almost surely, 212122441430 is an apocalyptic number.

12122441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120325888).

12122441430 is an abundant number, since it is smaller than the sum of its proper divisors (22118210346).

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

12122441430 is a wasteful number, since it uses less digits than its factorization.

12122441430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40862.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12122441430 its reverse (3414422121), we get a palindrome (15536863551).

The spelling of 12122441430 in words is "twelve billion, one hundred twenty-two million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 53 55 66 85 102 106 110 159 165 170 187 255 265 318 330 374 510 530 561 583 795 901 935 1122 1166 1590 1749 1802 1870 2703 2805 2915 3498 4505 5406 5610 5830 8745 9010 9911 13515 17490 19822 27030 29733 40771 49555 59466 81542 99110 122313 148665 203855 244626 297330 407710 448481 611565 693107 896962 1223130 1345443 1386214 2079321 2160863 2242405 2690886 3465535 4158642 4321726 4484810 6482589 6727215 6931070 7624177 10396605 10804315 12965178 13454430 15248354 20793210 21608630 22872531 23769493 32412945 36734671 38120885 45745062 47538986 64825890 71308479 73469342 76241770 110204013 114362655 118847465 142616958 183673355 220408026 228725310 237694930 356542395 367346710 404081381 551020065 713084790 808162762 1102040130 1212244143 2020406905 2424488286 4040813810 6061220715 12122441430