Search a number
-
+
12011323422120 = 233511229374317929
BaseRepresentation
bin1010111011001001101010…
…1010100111010110101000
31120112021022210002112202220
42232302122222213112220
53033243142244001440
641313531550154040
72346534535346001
oct256623252472650
946467283075686
1012011323422120
113910a78a34500
12141ba5bab2920
13691880625c69
142d74cb7dc1a8
1515c6970988d0
hexaec9aaa75a8

12011323422120 has 768 divisors, whose sum is σ = 43061778144000. Its totient is φ = 2671679324160.

The previous prime is 12011323422071. The next prime is 12011323422143. The reversal of 12011323422120 is 2122432311021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 669929316 + ... + 669947244.

It is an arithmetic number, because the mean of its divisors is an integer number (56070023625).

Almost surely, 212011323422120 is an apocalyptic number.

12011323422120 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 12011323422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530889072000).

12011323422120 is an abundant number, since it is smaller than the sum of its proper divisors (31050454721880).

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

12011323422120 is a wasteful number, since it uses less digits than its factorization.

12011323422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18074 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12011323422120 its reverse (2122432311021), we get a palindrome (14133755733141).

The spelling of 12011323422120 in words is "twelve trillion, eleven billion, three hundred twenty-three million, four hundred twenty-two thousand, one hundred twenty".