Search a number
-
+
12010221020000 = 25547412299137
BaseRepresentation
bin1010111011000101100011…
…1101010010001101100000
31120112011110221201201100202
42232301120331102031200
53033233413040120000
641313230330004332
72346465321156440
oct256613075221540
946464427651322
1012010221020000
113910562729475
12141b7b28766a8
13691736113b08
142d7425236120
1515c6303dadd5
hexaec58f52360

12010221020000 has 480 divisors, whose sum is σ = 34746402841920. Its totient is φ = 3999375360000.

The previous prime is 12010221019997. The next prime is 12010221020003. The reversal of 12010221020000 is 2012201021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12010221019997) and next prime (12010221020003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010221020003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1314455432 + ... + 1314464568.

It is an arithmetic number, because the mean of its divisors is an integer number (72388339254).

Almost surely, 212010221020000 is an apocalyptic number.

12010221020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373201420960).

12010221020000 is an abundant number, since it is smaller than the sum of its proper divisors (22736181821920).

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

12010221020000 is an equidigital number, since it uses as much as digits as its factorization.

12010221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12010221020000 its reverse (2012201021), we get a palindrome (12012233221021).

The spelling of 12010221020000 in words is "twelve trillion, ten billion, two hundred twenty-one million, twenty thousand".