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12126047808 = 263722340459
BaseRepresentation
bin10110100101100010…
…01100111001000000
31011022002022001102210
423102301030321000
5144313232012213
65323131142120
7606331464030
oct132261147100
934262261383
1012126047808
115162924216
122424ba4940
1311b32c8424
1483066d8c0
154ae86d0c3
hex2d2c4ce40

12126047808 has 112 divisors (see below), whose sum is σ = 36832194560. Its totient is φ = 3448963584.

The previous prime is 12126047807. The next prime is 12126047819. The reversal of 12126047808 is 80874062121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (12126047807) 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, 279483 + ... + 319941.

It is an arithmetic number, because the mean of its divisors is an integer number (328858880).

Almost surely, 212126047808 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 12126047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416097280).

12126047808 is an abundant number, since it is smaller than the sum of its proper divisors (24706146752).

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

12126047808 is a wasteful number, since it uses less digits than its factorization.

12126047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40704 (or 40694 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 12126047808 in words is "twelve billion, one hundred twenty-six million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 223 224 336 446 448 669 672 892 1338 1344 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 14272 18732 21408 24976 37464 40459 42816 49952 74928 80918 99904 121377 149856 161836 242754 283213 299712 323672 485508 566426 647344 849639 971016 1132852 1294688 1699278 1942032 2265704 2589376 3398556 3884064 4531408 6797112 7768128 9022357 9062816 13594224 18044714 18125632 27067071 27188448 36089428 54134142 54376896 63156499 72178856 108268284 126312998 144357712 189469497 216536568 252625996 288715424 378938994 433073136 505251992 577430848 757877988 866146272 1010503984 1515755976 1732292544 2021007968 3031511952 4042015936 6063023904 12126047808