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12010331434440 = 2335100086095287
BaseRepresentation
bin1010111011000101111110…
…0010011110110111001000
31120112011202122111100111110
42232301133202132313020
53033234124321400230
641313245312330320
72346501131525433
oct256613742366710
946464678440443
1012010331434440
113910609a93479
12141b8238439a0
13691752c629c1
142d7435b7881a
1515c639e4b4b0
hexaec5f89edc8

12010331434440 has 32 divisors (see below), whose sum is σ = 36030994303680. Its totient is φ = 3202755049152.

The previous prime is 12010331434427. The next prime is 12010331434441. The reversal of 12010331434440 is 4443413301021.

It is a super-2 number, since 2×120103314344402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12010331434398 and 12010331434407.

It is not an unprimeable number, because it can be changed into a prime (12010331434441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50043047524 + ... + 50043047763.

It is an arithmetic number, because the mean of its divisors is an integer number (1125968571990).

Almost surely, 212010331434440 is an apocalyptic number.

12010331434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010331434440 is an abundant number, since it is smaller than the sum of its proper divisors (24020662869240).

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

12010331434440 is a wasteful number, since it uses less digits than its factorization.

12010331434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100086095301 (or 100086095297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12010331434440 its reverse (4443413301021), we get a palindrome (16453744735461).

The spelling of 12010331434440 in words is "twelve trillion, ten billion, three hundred thirty-one million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 100086095287 200172190574 300258285861 400344381148 500430476435 600516571722 800688762296 1000860952870 1201033143444 1501291429305 2001721905740 2402066286888 3002582858610 4003443811480 6005165717220 12010331434440