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12258986880 = 273574122247
BaseRepresentation
bin10110110101011000…
…10100101110000000
31011122100110001120010
423122230110232000
5200101300040010
65344240344520
7612534445350
oct133254245600
934570401503
1012258986880
115220973318
122461615140
131204a028ba
14844196b60
154bb37c620
hex2dab14b80

12258986880 has 256 divisors, whose sum is σ = 45749007360. Its totient is φ = 2733588480.

The previous prime is 12258986819. The next prime is 12258986881. The reversal of 12258986880 is 8868985221.

It is a self number, because there is not a number n which added to its sum of digits gives 12258986880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258986881) 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, 539917 + ... + 562163.

It is an arithmetic number, because the mean of its divisors is an integer number (178707060).

Almost surely, 212258986880 is an apocalyptic number.

12258986880 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 12258986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874503680).

12258986880 is an abundant number, since it is smaller than the sum of its proper divisors (33490020480).

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

12258986880 is a wasteful number, since it uses less digits than its factorization.

12258986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22317 (or 22305 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 12258986880 in words is "twelve billion, two hundred fifty-eight million, nine hundred eighty-six thousand, eight hundred eighty".