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12242155056 = 24317891011669
BaseRepresentation
bin10110110011011000…
…00111011000110000
31011121011202220122020
423121230013120300
5200032442430211
65342435511440
7612241413105
oct133154073060
934534686566
1012242155056
11521241731a
122457a58580
13120138b541
14841c54aac
154b9b55306
hex2d9b07630

12242155056 has 160 divisors (see below), whose sum is σ = 34217899200. Its totient is φ = 3757670400.

The previous prime is 12242155019. The next prime is 12242155097. The reversal of 12242155056 is 65055124221.

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, 7334190 + ... + 7335858.

It is an arithmetic number, because the mean of its divisors is an integer number (213861870).

Almost surely, 212242155056 is an apocalyptic number.

12242155056 is a gapful number since it is divisible by the number (16) 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 12242155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108949600).

12242155056 is an abundant number, since it is smaller than the sum of its proper divisors (21975744144).

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

12242155056 is a wasteful number, since it uses less digits than its factorization.

12242155056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 12242155056 its reverse (65055124221), we get a palindrome (77297279277).

The spelling of 12242155056 in words is "twelve billion, two hundred forty-two million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 101 102 136 178 202 204 267 272 303 356 404 408 534 606 712 808 816 1068 1212 1424 1513 1616 1669 1717 2136 2424 3026 3338 3434 4272 4539 4848 5007 5151 6052 6676 6868 8989 9078 10014 10302 12104 13352 13736 17978 18156 20028 20604 24208 26704 26967 27472 28373 35956 36312 40056 41208 53934 56746 71912 72624 80112 82416 85119 107868 113492 143824 148541 152813 168569 170238 215736 226984 297082 305626 337138 340476 431472 445623 453968 458439 505707 594164 611252 674276 680952 891246 916878 1011414 1188328 1222504 1348552 1361904 1782492 1833756 2022828 2376656 2445008 2525197 2697104 2865673 3564984 3667512 4045656 5050394 5731346 7129968 7335024 7575591 8091312 8597019 10100788 11462692 15002641 15151182 17194038 20201576 22925384 30005282 30302364 34388076 40403152 45007923 45850768 60010564 60604728 68776152 90015846 120021128 121209456 137552304 180031692 240042256 255044897 360063384 510089794 720126768 765134691 1020179588 1530269382 2040359176 3060538764 4080718352 6121077528 12242155056