Search a number
-
+
12012888528 = 2432401208037
BaseRepresentation
bin10110011000000011…
…00010000111010000
31011000012100222002100
423030001202013100
5144100244413103
65304005520400
7603455603424
oct131401420720
934005328070
1012012888528
115104a64a53
1223b3113100
131195a28084
1481d614b84
154a49695a3
hex2cc0621d0

12012888528 has 60 divisors (see below), whose sum is σ = 33703404228. Its totient is φ = 3994291200.

The previous prime is 12012888527. The next prime is 12012888571. The reversal of 12012888528 is 82588821021.

12012888528 is a `hidden beast` number, since 1 + 20 + 1 + 28 + 88 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5537145744 + 6475742784 = 74412^2 + 80472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012888527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46275 + ... + 161762.

Almost surely, 212012888528 is an apocalyptic number.

12012888528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12012888528 is an abundant number, since it is smaller than the sum of its proper divisors (21690515700).

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

12012888528 is a wasteful number, since it uses less digits than its factorization.

12012888528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208452 (or 208443 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 12012888528 in words is "twelve billion, twelve million, eight hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 14436 19248 28872 57744 208037 416074 624111 832148 1248222 1664296 1872333 2496444 3328592 3744666 4992888 7489332 9985776 14978664 29957328 83422837 166845674 250268511 333691348 500537022 667382696 750805533 1001074044 1334765392 1501611066 2002148088 3003222132 4004296176 6006444264 12012888528