Search a number
-
+
12010110110000 = 24541201011011
BaseRepresentation
bin1010111011000101001001…
…0110001100100100110000
31120112011012020000220102222
42232301102112030210300
53033233201142010000
641313211324500212
72346462503354612
oct256612226144460
946464166026388
1012010110110000
113910506066112
12141b7816aa668
136917191504b2
142d7414604db2
1515c6257cda85
hexaec5258c930

12010110110000 has 50 divisors (see below), whose sum is σ = 29077677611532. Its totient is φ = 4804044040000.

The previous prime is 12010110109993. The next prime is 12010110110021. The reversal of 12010110110000 is 1101101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12010110110000.

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 9 ways as a sum of consecutive naturals, for example, 600495506 + ... + 600515505.

Almost surely, 212010110110000 is an apocalyptic number.

12010110110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010110110000 is an abundant number, since it is smaller than the sum of its proper divisors (17067567501532).

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

12010110110000 is an equidigital number, since it uses as much as digits as its factorization.

12010110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201011039 (or 1201011018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12010110110000 its reverse (1101101021), we get a palindrome (12011211211021).

The spelling of 12010110110000 in words is "twelve trillion, ten billion, one hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1201011011 2402022022 4804044044 6005055055 9608088088 12010110110 19216176176 24020220220 30025275275 48040440440 60050550550 96080880880 120101101100 150126376375 240202202200 300252752750 480404404400 600505505500 750631881875 1201011011000 1501263763750 2402022022000 3002527527500 6005055055000 12010110110000