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12214435000 = 235419267101
BaseRepresentation
bin10110110000000100…
…10111110010111000
31011112020121120212111
423120002113302320
5200003343410000
65340005422104
7611453661445
oct133002276270
934466546774
1012214435000
1151a8803889
12244a70a934
1311c8704241
1483c2ba9cc
154b74cbcba
hex2d8097cb8

12214435000 has 240 divisors, whose sum is σ = 30958246440. Its totient is φ = 4514400000.

The previous prime is 12214434989. The next prime is 12214435007. The reversal of 12214435000 is 53441221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214435007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120934950 + ... + 120935050.

Almost surely, 212214435000 is an apocalyptic number.

12214435000 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 12214435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479123220).

12214435000 is an abundant number, since it is smaller than the sum of its proper divisors (18743811440).

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

12214435000 is a wasteful number, since it uses less digits than its factorization.

12214435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12214435000 its reverse (53441221), we get a palindrome (12267876221).

The spelling of 12214435000 in words is "twelve billion, two hundred fourteen million, four hundred thirty-five thousand".