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12221422400 = 2652111740847
BaseRepresentation
bin10110110000111010…
…00001101101000000
31011112201202120210002
423120131001231000
5200012141004100
65340415255132
7611600243045
oct133035015500
934481676702
1012221422400
1152017465a0
122450b1a4a8
1311c9cac7b5
1483d1b91cc
154b7e0c2d5
hex2d8741b40

12221422400 has 168 divisors, whose sum is σ = 34736812416. Its totient is φ = 4182630400.

The previous prime is 12221422379. The next prime is 12221422429. The reversal of 12221422400 is 422412221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278777 + ... + 319623.

Almost surely, 212221422400 is an apocalyptic number.

12221422400 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 12221422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368406208).

12221422400 is an abundant number, since it is smaller than the sum of its proper divisors (22515390016).

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

12221422400 is a wasteful number, since it uses less digits than its factorization.

12221422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40897 (or 40882 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12221422400 its reverse (422412221), we get a palindrome (12643834621).

The spelling of 12221422400 in words is "twelve billion, two hundred twenty-one million, four hundred twenty-two thousand, four hundred".