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12207989472 = 2537315311057
BaseRepresentation
bin10110101111010011…
…10010001011100000
31011111210111010021020
423113221302023200
5200000221130342
65335215325440
7611345125020
oct132751621340
934453433236
1012207989472
1151a51011a8
122448520880
1311c7288513
1483b4bda80
154b6b570ec
hex2d7a722e0

12207989472 has 192 divisors, whose sum is σ = 38522179584. Its totient is φ = 3311493120.

The previous prime is 12207989467. The next prime is 12207989491. The reversal of 12207989472 is 27498970221.

12207989472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1098568 + ... + 1109624.

It is an arithmetic number, because the mean of its divisors is an integer number (200636352).

Almost surely, 212207989472 is an apocalyptic number.

12207989472 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 12207989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19261089792).

12207989472 is an abundant number, since it is smaller than the sum of its proper divisors (26314190112).

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

12207989472 is a wasteful number, since it uses less digits than its factorization.

12207989472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 12207989472 in words is "twelve billion, two hundred seven million, nine hundred eighty-nine thousand, four hundred seventy-two".