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12214400000 = 2105511347
BaseRepresentation
bin10110110000000100…
…01111010000000000
31011112020112210212012
423120002033100000
5200003341300000
65340004552052
7611453454425
oct133002172000
934466483765
1012214400000
1151a878a560
12244a6b2628
1311c86c132a
1483c2abd4c
154b74c1735
hex2d808f400

12214400000 has 264 divisors, whose sum is σ = 33389550432. Its totient is φ = 4428800000.

The previous prime is 12214399999. The next prime is 12214400083. The reversal of 12214400000 is 441221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199827 + ... + 35200173.

Almost surely, 212214400000 is an apocalyptic number.

12214400000 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 12214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694775216).

12214400000 is an abundant number, since it is smaller than the sum of its proper divisors (21175150432).

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

12214400000 is an frugal number, since it uses more digits than its factorization.

12214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12214400000 its reverse (441221), we get a palindrome (12214841221).

It can be divided in two parts, 12214 and 400000, that added together give a palindrome (412214).

The spelling of 12214400000 in words is "twelve billion, two hundred fourteen million, four hundred thousand".