Search a number
-
+
12020330003220 = 223257111376330421
BaseRepresentation
bin1010111011101011001101…
…1111111111101100010100
31120120010120110120021100200
42232322303133333230110
53033420113440100340
641322021404340500
72350303661126640
oct256726337775424
946503513507320
1012020330003220
11391487aa10160
121421754244730
1369268756b8a6
142d7b03a47c20
1515ca22b25330
hexaeeb37ffb14

12020330003220 has 288 divisors, whose sum is σ = 45790525138176. Its totient is φ = 2479498905600.

The previous prime is 12020330003207. The next prime is 12020330003239. The reversal of 12020330003220 is 2230003302021.

It is a happy number.

12020330003220 is a `hidden beast` number, since 1 + 20 + 20 + 3 + 300 + 0 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12020330003193 and 12020330003202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1266391 + ... + 5064030.

It is an arithmetic number, because the mean of its divisors is an integer number (158994878952).

Almost surely, 212020330003220 is an apocalyptic number.

12020330003220 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 12020330003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895262569088).

12020330003220 is an abundant number, since it is smaller than the sum of its proper divisors (33770195134956).

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

12020330003220 is a wasteful number, since it uses less digits than its factorization.

12020330003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330591 (or 6330586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12020330003220 its reverse (2230003302021), we get a palindrome (14250333305241).

The spelling of 12020330003220 in words is "twelve trillion, twenty billion, three hundred thirty million, three thousand, two hundred twenty".