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12041225504 = 257211798837
BaseRepresentation
bin10110011011011011…
…01000010100100000
31011002011200122002222
423031231220110200
5144130023204004
65310501130212
7604251504500
oct131555502440
934064618088
1012041225504
115119a59a40
1224006b9968
13119b86a109
148232ada00
154a71b57be
hex2cdb68520

12041225504 has 144 divisors (see below), whose sum is σ = 30467767680. Its totient is φ = 4631477760.

The previous prime is 12041225501. The next prime is 12041225513. The reversal of 12041225504 is 40552214021.

It is a super-2 number, since 2×120412255042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12041225501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358174 + ... + 1367010.

It is an arithmetic number, because the mean of its divisors is an integer number (211581720).

Almost surely, 212041225504 is an apocalyptic number.

12041225504 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 12041225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233883840).

12041225504 is an abundant number, since it is smaller than the sum of its proper divisors (18426542176).

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

12041225504 is a wasteful number, since it uses less digits than its factorization.

12041225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 12041225504 its reverse (40552214021), we get a palindrome (52593439525).

The spelling of 12041225504 in words is "twelve billion, forty-one million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 79 88 98 112 154 158 176 196 224 308 316 352 392 539 553 616 632 784 869 1078 1106 1232 1264 1568 1738 2156 2212 2464 2528 3476 3871 4312 4424 6083 6952 7742 8624 8837 8848 12166 13904 15484 17248 17674 17696 24332 27808 30968 35348 42581 48664 61859 61936 70696 85162 97207 97328 123718 123872 141392 170324 194414 194656 247436 282784 340648 388828 433013 494872 680449 681296 698123 777656 866026 989744 1360898 1362592 1396246 1555312 1732052 1979488 2721796 2792492 3110624 3464104 4763143 4886861 5443592 5584984 6928208 7679353 9526286 9773722 10887184 11169968 13856416 15358706 19052572 19547444 21774368 22339936 30717412 34208027 38105144 39094888 53755471 61434824 68416054 76210288 78189776 107510942 122869648 136832108 152420576 156379552 215021884 245739296 273664216 376288297 430043768 547328432 752576594 860087536 1094656864 1505153188 1720175072 3010306376 6020612752 12041225504