Search a number
-
+
12012002220120 = 2335743893736609
BaseRepresentation
bin1010111011001100001100…
…1000000001100001011000
31120112100002002101001120120
42232303003020001201120
53033301040032020440
641314123155153240
72346560420133630
oct256630310014130
946470062331516
1012012002220120
113911297112491
12142000b2a5820
1369195b150a96
142d7553a176c0
1515c6d697ddd0
hexaecc3201858

12012002220120 has 256 divisors, whose sum is σ = 42615289728000. Its totient is φ = 2651616608256.

The previous prime is 12012002220083. The next prime is 12012002220133. The reversal of 12012002220120 is 2102220021021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012002220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346376 + ... + 5082984.

It is an arithmetic number, because the mean of its divisors is an integer number (166465975500).

Almost surely, 212012002220120 is an apocalyptic number.

12012002220120 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 12012002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307644864000).

12012002220120 is an abundant number, since it is smaller than the sum of its proper divisors (30603287507880).

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

12012002220120 is a wasteful number, since it uses less digits than its factorization.

12012002220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736762 (or 3736758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12012002220120 its reverse (2102220021021), we get a palindrome (14114222241141).

The spelling of 12012002220120 in words is "twelve trillion, twelve billion, two million, two hundred twenty thousand, one hundred twenty".