Search a number
-
+
12010222022120 = 23572173331108211
BaseRepresentation
bin1010111011000101100100…
…0001000110110111101000
31120112011111000121122000022
42232301121001012313220
53033233413314201440
641313230403300012
72346465332532200
oct256613101066750
946464430548008
1012010222022120
113910563253373
12141b7b307a608
136917363a4c9a
142d7425417400
1515c630537cb5
hexaec59046de8

12010222022120 has 192 divisors, whose sum is σ = 33294330538560. Its totient is φ = 3874368153600.

The previous prime is 12010222022041. The next prime is 12010222022129. The reversal of 12010222022120 is 2122022201021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12010222022129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110934815 + ... + 111043025.

It is an arithmetic number, because the mean of its divisors is an integer number (173407971555).

Almost surely, 212010222022120 is an apocalyptic number.

12010222022120 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 12010222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647165269280).

12010222022120 is an abundant number, since it is smaller than the sum of its proper divisors (21284108516440).

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

12010222022120 is a wasteful number, since it uses less digits than its factorization.

12010222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111584 (or 111573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12010222022120 its reverse (2122022201021), we get a palindrome (14132244223141).

The spelling of 12010222022120 in words is "twelve trillion, ten billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".