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12223872000 = 2103653131
BaseRepresentation
bin10110110001001100…
…10111110000000000
31011112220101001000000
423120212113300000
5200013302401000
65340544000000
7611630124534
oct133046276000
934486331000
1012223872000
115203069a5a
122451900000
1311ca659772
1483d655bc4
154b8243000
hex2d8997c00

12223872000 has 616 divisors, whose sum is σ = 46071943632. Its totient is φ = 3234816000.

The previous prime is 12223871993. The next prime is 12223872079. The reversal of 12223872000 is 27832221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311935 + ... + 93312065.

Almost surely, 212223872000 is an apocalyptic number.

12223872000 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 12223872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23035971816).

12223872000 is an abundant number, since it is smaller than the sum of its proper divisors (33848071632).

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

12223872000 is an frugal number, since it uses more digits than its factorization.

12223872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12223872000 in words is "twelve billion, two hundred twenty-three million, eight hundred seventy-two thousand".