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12130435187320 = 235683444013001
BaseRepresentation
bin1011000010000101011001…
…0001111100001001111000
31120221122202212220011012011
42300201112101330021320
53042221112401443240
641444351152455304
72361252330553402
oct260412621741170
946848685804164
1012130435187320
11395754147267a
12143ab6224a534
1369cb837a5ab8
142dd18ababb72
151608190986ea
hexb085647c278

12130435187320 has 32 divisors (see below), whose sum is σ = 27333440403120. Its totient is φ = 4845069856000.

The previous prime is 12130435187293. The next prime is 12130435187393. The reversal of 12130435187320 is 2378153403121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221979181 + ... + 222033820.

Almost surely, 212130435187320 is an apocalyptic number.

12130435187320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130435187320 is an abundant number, since it is smaller than the sum of its proper divisors (15203005215800).

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

12130435187320 is a wasteful number, since it uses less digits than its factorization.

12130435187320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444013695 (or 444013691 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12130435187320 in words is "twelve trillion, one hundred thirty billion, four hundred thirty-five million, one hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 683 1366 2732 3415 5464 6830 13660 27320 444013001 888026002 1776052004 2220065005 3552104008 4440130010 8880260020 17760520040 303260879683 606521759366 1213043518732 1516304398415 2426087037464 3032608796830 6065217593660 12130435187320