Search a number
-
+
12751232112000 = 273353611732797
BaseRepresentation
bin1011100110001110000010…
…1010010001010110000000
31200011000011021211110002000
42321203200222101112000
53132404010410041000
643041500221224000
72454150263423034
oct271434052212600
950130137743060
1012751232112000
114076849115528
12151b335a02000
13716588c550a5
1432123d1021c4
15171a4eaed000
hexb98e0a91580

12751232112000 has 1024 divisors, whose sum is σ = 48030091948800. Its totient is φ = 3324063744000.

The previous prime is 12751232111951. The next prime is 12751232112023. The reversal of 12751232112000 is 21123215721.

It is a happy number.

12751232112000 is a `hidden beast` number, since 1 + 2 + 7 + 512 + 3 + 21 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4558894602 + ... + 4558897398.

Almost surely, 212751232112000 is an apocalyptic number.

12751232112000 is a gapful number since it is divisible by the number (10) 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 12751232112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24015045974400).

12751232112000 is an abundant number, since it is smaller than the sum of its proper divisors (35278859836800).

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

12751232112000 is a wasteful number, since it uses less digits than its factorization.

12751232112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12751232112000 its reverse (21123215721), we get a palindrome (12772355327721).

The spelling of 12751232112000 in words is "twelve trillion, seven hundred fifty-one billion, two hundred thirty-two million, one hundred twelve thousand".