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12222385344 = 2632134734729
BaseRepresentation
bin10110110001000001…
…01100110011000000
31011112210120111200200
423120200230303000
5200012412312334
65340452045200
7611611363341
oct133040546300
934483514620
1012222385344
115202244014
122451303800
1311ca258ba0
1483d38a0c8
154b804c799
hex2d882ccc0

12222385344 has 168 divisors, whose sum is σ = 38531962560. Its totient is φ = 3680612352.

The previous prime is 12222385337. The next prime is 12222385349. The reversal of 12222385344 is 44358322221.

12222385344 is a `hidden beast` number, since 12 + 2 + 223 + 85 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12222385299 and 12222385308.

It is not an unprimeable number, because it can be changed into a prime (12222385349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334572 + ... + 369300.

It is an arithmetic number, because the mean of its divisors is an integer number (229356920).

Almost surely, 212222385344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265981280).

12222385344 is an abundant number, since it is smaller than the sum of its proper divisors (26309577216).

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

12222385344 is a wasteful number, since it uses less digits than its factorization.

12222385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34807 (or 34794 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 12222385344 in words is "twelve billion, two hundred twenty-two million, three hundred eighty-five thousand, three hundred forty-four".