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12222434224 = 24711132471249
BaseRepresentation
bin10110110001000001…
…11000101110110000
31011112210122222202001
423120200320232300
5200012420343344
65340453103344
7611611656010
oct133040705660
934483588661
1012222434224
115202277810
122451327b54
1311ca275200
1483d39dc40
154b805bed4
hex2d8838bb0

12222434224 has 240 divisors, whose sum is σ = 32676480000. Its totient is φ = 4298711040.

The previous prime is 12222434219. The next prime is 12222434249. The reversal of 12222434224 is 42243422221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12222434192 and 12222434201.

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, 9785152 + ... + 9786400.

It is an arithmetic number, because the mean of its divisors is an integer number (136152000).

Almost surely, 212222434224 is an apocalyptic number.

12222434224 is a gapful number since it is divisible by the number (14) 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 12222434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240000).

12222434224 is an abundant number, since it is smaller than the sum of its proper divisors (20454045776).

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

12222434224 is a wasteful number, since it uses less digits than its factorization.

12222434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1329 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

Adding to 12222434224 its reverse (42243422221), we get a palindrome (54465856445).

The spelling of 12222434224 in words is "twelve billion, two hundred twenty-two million, four hundred thirty-four thousand, two hundred twenty-four".