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12224904384 = 2637113472383
BaseRepresentation
bin10110110001010100…
…10011110011000000
31011112222022111011110
423120222103303000
5200014033420014
65341022043320
7611641654440
oct133052236300
934488274143
1012224904384
115203704670
122452119540
1311ca92b644
1483d844120
154b8398d59
hex2d8a93cc0

12224904384 has 224 divisors, whose sum is σ = 40459493376. Its totient is φ = 3164820480.

The previous prime is 12224904379. The next prime is 12224904389. The reversal of 12224904384 is 48340942221.

It is an interprime number because it is at equal distance from previous prime (12224904379) and next prime (12224904389).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (12224904389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128857 + ... + 5131239.

Almost surely, 212224904384 is an apocalyptic number.

12224904384 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 12224904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229746688).

12224904384 is an abundant number, since it is smaller than the sum of its proper divisors (28234588992).

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

12224904384 is a wasteful number, since it uses less digits than its factorization.

12224904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12224904384 in words is "twelve billion, two hundred twenty-four million, nine hundred four thousand, three hundred eighty-four".