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12259855872 = 293311372179
BaseRepresentation
bin10110110101011111…
…01000111000000000
31011122102002012121000
423122233220320000
5200102010341442
65344311132000
7612545025015
oct133257507000
934572065530
1012259855872
1152214071a0
122461974000
131204c482b4
1484434170c
154bb49ed4c
hex2dabe8e00

12259855872 has 320 divisors, whose sum is σ = 40677753600. Its totient is φ = 3613040640.

The previous prime is 12259855843. The next prime is 12259855873. The reversal of 12259855872 is 27855895221.

12259855872 is a `hidden beast` number, since 1 + 2 + 2 + 59 + 8 + 5 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12259855873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5625279 + ... + 5627457.

It is an arithmetic number, because the mean of its divisors is an integer number (127117980).

Almost surely, 212259855872 is an apocalyptic number.

12259855872 is a gapful number since it is divisible by the number (12) 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 12259855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338876800).

12259855872 is an abundant number, since it is smaller than the sum of its proper divisors (28417897728).

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

12259855872 is a wasteful number, since it uses less digits than its factorization.

12259855872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2232 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 12259855872 in words is "twelve billion, two hundred fifty-nine million, eight hundred fifty-five thousand, eight hundred seventy-two".