Search a number
-
+
12271425105520 = 245721913259117
BaseRepresentation
bin1011001010010010100111…
…1011110010111001110000
31121110010200201022002102101
42302210221323302321300
53102023334311334040
642033225340030144
72404403232233530
oct262445173627160
947403621262371
1012271425105520
113a01311613a29
12146234b532354
136b02624850b9
14305d23a814c0
1516431bb5909a
hexb2929ef2e70

12271425105520 has 40 divisors (see below), whose sum is σ = 32606929567584. Its totient is φ = 4207345750272.

The previous prime is 12271425105497. The next prime is 12271425105671. The reversal of 12271425105520 is 2550152417221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12271425105520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10956628999 + ... + 10956630118.

Almost surely, 212271425105520 is an apocalyptic number.

12271425105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12271425105520 is an abundant number, since it is smaller than the sum of its proper divisors (20335504462064).

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

12271425105520 is a wasteful number, since it uses less digits than its factorization.

12271425105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913259137 (or 21913259131 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 37.

The spelling of 12271425105520 in words is "twelve trillion, two hundred seventy-one billion, four hundred twenty-five million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21913259117 43826518234 87653036468 109566295585 153392813819 175306072936 219132591170 306785627638 350612145872 438265182340 613571255276 766964069095 876530364680 1227142510552 1533928138190 1753060729360 2454285021104 3067856276380 6135712552760 12271425105520