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12003320015344 = 2472329160678411
BaseRepresentation
bin1010111010101011110110…
…1000000010100111110000
31120111111200000021100122201
42232222331220002213300
53033130244410442334
641310125445312544
72346132313456360
oct256527550024760
946444600240581
1012003320015344
11390864124a539
12141a3a7705754
13690ba648c2c8
142d6d6c8c89a0
1515c379628c14
hexaeabda029f0

12003320015344 has 80 divisors (see below), whose sum is σ = 28690737246720. Its totient is φ = 4750939226880.

The previous prime is 12003320015341. The next prime is 12003320015363. The reversal of 12003320015344 is 44351002330021.

It is a happy number.

12003320015344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003320015341) 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, 80264502 + ... + 80413909.

It is an arithmetic number, because the mean of its divisors is an integer number (358634215584).

Almost surely, 212003320015344 is an apocalyptic number.

12003320015344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12003320015344 is an abundant number, since it is smaller than the sum of its proper divisors (16687417231376).

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

12003320015344 is a wasteful number, since it uses less digits than its factorization.

12003320015344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160678478 (or 160678472 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 12003320015344 its reverse (44351002330021), we get a palindrome (56354322345365).

The spelling of 12003320015344 in words is "twelve trillion, three billion, three hundred twenty million, fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 2576 2668 3248 4669 5336 9338 10672 18676 37352 74704 160678411 321356822 642713644 1124748877 1285427288 2249497754 2570854576 3695603453 4498995508 4659673919 7391206906 8997991016 9319347838 14782413812 17995982032 18638695676 25869224171 29564827624 32617717433 37277391352 51738448342 59129655248 65235434866 74554782704 103476896684 107172500137 130470869732 206953793368 214345000274 260941739464 413907586736 428690000548 521883478928 750207500959 857380001096 1500415001918 1714760002192 3000830003836 6001660007672 12003320015344