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12255630000 = 243541392939
BaseRepresentation
bin10110110100111111…
…00001001010110000
31011122010010111210020
423122133201022300
5200044420130000
65344040403440
7612464064465
oct133237411260
934563114706
1012255630000
115219a90239
122460476580
1312040c8993
1484396166c
154bae17ba0
hex2da7e12b0

12255630000 has 200 divisors, whose sum is σ = 39860990400. Its totient is φ = 3243552000.

The previous prime is 12255629989. The next prime is 12255630001. The reversal of 12255630000 is 3655221.

12255630000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12255630001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4168531 + ... + 4171469.

It is an arithmetic number, because the mean of its divisors is an integer number (199304952).

Almost surely, 212255630000 is an apocalyptic number.

12255630000 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 12255630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930495200).

12255630000 is an abundant number, since it is smaller than the sum of its proper divisors (27605360400).

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

12255630000 is a wasteful number, since it uses less digits than its factorization.

12255630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 12255630000 in words is "twelve billion, two hundred fifty-five million, six hundred thirty thousand".