Search a number
-
+
12233000012220 = 223251331712375183
BaseRepresentation
bin1011001000000011011110…
…0111101100100110111100
31121022110111210201002202200
42302000313213230212330
53100411141000342340
642003432420551500
72401543100311461
oct262006747544674
947273453632680
1012233000012220
113996a93658679
121456a06b52590
136a974a790ac0
1430411a715668
1516331d566330
hexb20379ec9bc

12233000012220 has 288 divisors, whose sum is σ = 41831208566784. Its totient is φ = 2873020147200.

The previous prime is 12233000012213. The next prime is 12233000012243. The reversal of 12233000012220 is 2221000033221.

12233000012220 is a `hidden beast` number, since 1 + 223 + 300 + 0 + 0 + 122 + 20 = 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 = 12233000012193 and 12233000012202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3962749 + ... + 6337931.

It is an arithmetic number, because the mean of its divisors is an integer number (145247251968).

Almost surely, 212233000012220 is an apocalyptic number.

12233000012220 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 12233000012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20915604283392).

12233000012220 is an abundant number, since it is smaller than the sum of its proper divisors (29598208554564).

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

12233000012220 is a wasteful number, since it uses less digits than its factorization.

12233000012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375313 (or 2375308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12233000012220 its reverse (2221000033221), we get a palindrome (14454000045441).

The spelling of 12233000012220 in words is "twelve trillion, two hundred thirty-three billion, twelve thousand, two hundred twenty".