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12103422144 = 2631129319559
BaseRepresentation
bin10110100010110101…
…11001000011000000
31011020111201112212020
423101122321003000
5144241434002034
65321002201440
7605635251012
oct132132710300
934214645766
1012103422144
115151080220
1224194b3280
1311ab705b68
1482b6601b2
154ac89e249
hex2d16b90c0

12103422144 has 112 divisors (see below), whose sum is σ = 35055901440. Its totient is φ = 3654999040.

The previous prime is 12103422143. The next prime is 12103422157. The reversal of 12103422144 is 44122430121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12103422143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609037 + ... + 628595.

It is an arithmetic number, because the mean of its divisors is an integer number (312999120).

Almost surely, 212103422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527950720).

12103422144 is an abundant number, since it is smaller than the sum of its proper divisors (22952479296).

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

12103422144 is a wasteful number, since it uses less digits than its factorization.

12103422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19878 (or 19868 counting only the distinct ones).

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

Adding to 12103422144 its reverse (44122430121), we get a palindrome (56225852265).

The spelling of 12103422144 in words is "twelve billion, one hundred three million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 293 352 528 586 704 879 1056 1172 1758 2112 2344 3223 3516 4688 6446 7032 9376 9669 12892 14064 18752 19338 19559 25784 28128 38676 39118 51568 56256 58677 77352 78236 103136 117354 154704 156472 206272 215149 234708 309408 312944 430298 469416 618816 625888 645447 860596 938832 1251776 1290894 1721192 1877664 2581788 3442384 3755328 5163576 5730787 6884768 10327152 11461574 13769536 17192361 20654304 22923148 34384722 41308608 45846296 63038657 68769444 91692592 126077314 137538888 183385184 189115971 252154628 275077776 366770368 378231942 504309256 550155552 756463884 1008618512 1100311104 1512927768 2017237024 3025855536 4034474048 6051711072 12103422144