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12222214400 = 2852111391249
BaseRepresentation
bin10110110001000000…
…00011000100000000
31011112210020211012102
423120200003010000
5200012341330100
65340444245532
7611610052064
oct133040030400
934483224172
1012222214400
115202137640
1224512408a8
1311ca1c9136
1483d343aa4
154b8016cd5
hex2d8803100

12222214400 has 216 divisors, whose sum is σ = 33266100000. Its totient is φ = 4408934400.

The previous prime is 12222214393. The next prime is 12222214423. The reversal of 12222214400 is 441222221.

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

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, 9784976 + ... + 9786224.

Almost surely, 212222214400 is an apocalyptic number.

12222214400 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 12222214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633050000).

12222214400 is an abundant number, since it is smaller than the sum of its proper divisors (21043885600).

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

12222214400 is a wasteful number, since it uses less digits than its factorization.

12222214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1406 counting only the distinct ones).

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

Adding to 12222214400 its reverse (441222221), we get a palindrome (12663436621).

It can be divided in two parts, 12222 and 214400, that added together give a palindrome (226622).

The spelling of 12222214400 in words is "twelve billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred".