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12077450880 = 27351123347
BaseRepresentation
bin10110011111101111…
…10100011010000000
31011011200212001222120
423033313310122000
5144213311412010
65314233404240
7605201432025
oct131767643200
934150761876
1012077450880
115138451670
122410869680
1311a6211851
1482801d54c
154aa46de70
hex2cfdf4680

12077450880 has 512 divisors, whose sum is σ = 44839526400. Its totient is φ = 2740981760.

The previous prime is 12077450851. The next prime is 12077450897. The reversal of 12077450880 is 8805477021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256967017 + ... + 256967063.

It is an arithmetic number, because the mean of its divisors is an integer number (87577200).

Almost surely, 212077450880 is an apocalyptic number.

12077450880 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 12077450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419763200).

12077450880 is an abundant number, since it is smaller than the sum of its proper divisors (32762075520).

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

12077450880 is an equidigital number, since it uses as much as digits as its factorization.

12077450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 12077450880 in words is "twelve billion, seventy-seven million, four hundred fifty thousand, eight hundred eighty".