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12412140104 = 2371325922229
BaseRepresentation
bin10111000111101001…
…00011101001001000
31012001000122001021202
423203310203221020
5200410001440404
65411351123332
7616404310250
oct134364435110
935030561252
1012412140104
11529a369631
1224a4973548
13122a666b00
1485a662960
154c9a3121e
hex2e3d23a48

12412140104 has 96 divisors (see below), whose sum is σ = 29290248000. Its totient is φ = 4826854656.

The previous prime is 12412140071. The next prime is 12412140107. The reversal of 12412140104 is 40104121421.

It is a super-2 number, since 2×124121401042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12412140107) 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, 547262 + ... + 569490.

It is an arithmetic number, because the mean of its divisors is an integer number (305106750).

Almost surely, 212412140104 is an apocalyptic number.

12412140104 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 12412140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645124000).

12412140104 is an abundant number, since it is smaller than the sum of its proper divisors (16878107896).

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

12412140104 is a wasteful number, since it uses less digits than its factorization.

12412140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22327 (or 22310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12412140104 its reverse (40104121421), we get a palindrome (52516261525).

The spelling of 12412140104 in words is "twelve billion, four hundred twelve million, one hundred forty thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 169 182 236 338 364 413 472 676 728 767 826 1183 1352 1534 1652 2366 3068 3304 4732 5369 6136 9464 9971 10738 19942 21476 22229 39884 42952 44458 69797 79768 88916 139594 155603 177832 279188 288977 311206 558376 577954 622412 1155908 1244824 1311511 2022839 2311816 2623022 3756701 4045678 5246044 7513402 8091356 9180577 10492088 15026804 16182712 17049643 18361154 26296907 30053608 34099286 36722308 52593814 68198572 73444616 105187628 119347501 136397144 210375256 221645359 238695002 443290718 477390004 886581436 954780008 1551517513 1773162872 3103035026 6206070052 12412140104