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12223102320 = 243251113118717
BaseRepresentation
bin10110110001000110…
…11011110101110000
31011112211220221012100
423120203123311300
5200013103233240
65340515300400
7611620440552
oct133043336560
934484827170
1012223102320
115202693760
1224515aa700
1311ca44a330
1483d4d54d2
154b813ee30
hex2d88dbd70

12223102320 has 240 divisors, whose sum is σ = 48226100832. Its totient is φ = 2735216640.

The previous prime is 12223102303. The next prime is 12223102337. The reversal of 12223102320 is 2320132221.

12223102320 is a `hidden beast` number, since 12 + 22 + 310 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12223102303) and next prime (12223102337).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 12223102293 and 12223102302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43602 + ... + 162318.

Almost surely, 212223102320 is an apocalyptic number.

12223102320 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 12223102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24113050416).

12223102320 is an abundant number, since it is smaller than the sum of its proper divisors (36002998512).

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

12223102320 is a wasteful number, since it uses less digits than its factorization.

12223102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118760 (or 118751 counting only the distinct ones).

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

Adding to 12223102320 its reverse (2320132221), we get a palindrome (14543234541).

The spelling of 12223102320 in words is "twelve billion, two hundred twenty-three million, one hundred two thousand, three hundred twenty".