Search a number
-
+
12243320022120 = 23351159227369163
BaseRepresentation
bin1011001000101001111010…
…1111011010010001101000
31121100110011000121220221120
42302022132233122101220
53101043304411201440
642012300434335240
72402356612043055
oct262123657322150
947313130556846
1012243320022120
1139a03a9a73880
121458a0712a520
136aa703863b35
1430481917a02c
15163724586dd0
hexb229ebda468

12243320022120 has 256 divisors, whose sum is σ = 40766700211200. Its totient is φ = 2916445347840.

The previous prime is 12243320022119. The next prime is 12243320022127. The reversal of 12243320022120 is 2122002334221.

12243320022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12243320022127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176986659 + ... + 177055821.

It is an arithmetic number, because the mean of its divisors is an integer number (159244922700).

Almost surely, 212243320022120 is an apocalyptic number.

12243320022120 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 12243320022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383350105600).

12243320022120 is an abundant number, since it is smaller than the sum of its proper divisors (28523380189080).

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

12243320022120 is a wasteful number, since it uses less digits than its factorization.

12243320022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71520 (or 71516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12243320022120 its reverse (2122002334221), we get a palindrome (14365322356341).

The spelling of 12243320022120 in words is "twelve trillion, two hundred forty-three billion, three hundred twenty million, twenty-two thousand, one hundred twenty".