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12210034424 = 237353591423
BaseRepresentation
bin10110101111100011…
…00101011011111000
31011111221100000102012
423113301211123320
5200001232100144
65335331225052
7611401403000
oct132761453370
934457300365
1012210034424
1151a6278645
122449148188
1311c7823253
1483b893000
154b6e0ce9e
hex2d7c656f8

12210034424 has 128 divisors (see below), whose sum is σ = 27682560000. Its totient is φ = 5043572352.

The previous prime is 12210034409. The next prime is 12210034451. The reversal of 12210034424 is 42443001221.

It is a self number, because there is not a number n which added to its sum of digits gives 12210034424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8579777 + ... + 8581199.

It is an arithmetic number, because the mean of its divisors is an integer number (216270000).

Almost surely, 212210034424 is an apocalyptic number.

12210034424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841280000).

12210034424 is an abundant number, since it is smaller than the sum of its proper divisors (15472525576).

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

12210034424 is a wasteful number, since it uses less digits than its factorization.

12210034424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12210034424 its reverse (42443001221), we get a palindrome (54653035645).

The spelling of 12210034424 in words is "twelve billion, two hundred ten million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 53 56 59 98 106 118 196 212 236 343 371 392 413 424 472 686 742 826 1372 1423 1484 1652 2597 2744 2846 2891 2968 3127 3304 5194 5692 5782 6254 9961 10388 11384 11564 12508 18179 19922 20237 20776 21889 23128 25016 36358 39844 40474 43778 69727 72716 75419 79688 80948 83957 87556 139454 145432 150838 153223 161896 167914 175112 278908 301676 306446 335828 488089 527933 557816 587699 603352 612892 671656 976178 1055866 1072561 1175398 1225784 1952356 2111732 2145122 2350796 3695531 3904712 4113893 4223464 4290244 4449721 4701592 7391062 8227786 8580488 8899442 14782124 16455572 17798884 25868717 28797251 29564248 31148047 32911144 35597768 51737434 57594502 62296094 103474868 115189004 124592188 206949736 218036329 230378008 249184376 436072658 872145316 1526254303 1744290632 3052508606 6105017212 12210034424