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12144011412 = 22313130759561
BaseRepresentation
bin10110100111101011…
…01110100010010100
31011100100002200212110
423103311232202110
5144332331331122
65325012151020
7606640252041
oct132365564224
934310080773
1012144011412
115171a83575
12242b008470
1311b6c47990
14832bc81c8
154b121a90c
hex2d3d6e894

12144011412 has 48 divisors (see below), whose sum is σ = 30539581632. Its totient is φ = 3733697280.

The previous prime is 12144011389. The next prime is 12144011413. The reversal of 12144011412 is 21411044121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144011413) 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, 174112 + ... + 233672.

It is an arithmetic number, because the mean of its divisors is an integer number (636241284).

Almost surely, 212144011412 is an apocalyptic number.

12144011412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144011412 is an abundant number, since it is smaller than the sum of its proper divisors (18395570220).

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

12144011412 is a wasteful number, since it uses less digits than its factorization.

12144011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60888 (or 60886 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12144011412 its reverse (21411044121), we get a palindrome (33555055533).

The spelling of 12144011412 in words is "twelve billion, one hundred forty-four million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1307 2614 3921 5228 7842 15684 16991 33982 50973 59561 67964 101946 119122 178683 203892 238244 357366 714732 774293 1548586 2322879 3097172 4645758 9291516 77846227 155692454 233538681 311384908 467077362 934154724 1012000951 2024001902 3036002853 4048003804 6072005706 12144011412