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12123485840 = 245236588851
BaseRepresentation
bin10110100101001110…
…11011011010010000
31011021220110220002002
423102213123122100
5144312103021330
65323000213132
7606300633524
oct132247333220
934256426062
1012123485840
115161434394
12242416a1a8
1311b290c27b
148301a3d84
154ae513e45
hex2d29db690

12123485840 has 40 divisors (see below), whose sum is σ = 29412635328. Its totient is φ = 4638550400.

The previous prime is 12123485831. The next prime is 12123485861. The reversal of 12123485840 is 4858432121.

12123485840 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 12123485794 and 12123485803.

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 7 ways as a sum of consecutive naturals, for example, 3292586 + ... + 3296265.

Almost surely, 212123485840 is an apocalyptic number.

12123485840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123485840 is an abundant number, since it is smaller than the sum of its proper divisors (17289149488).

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

12123485840 is a wasteful number, since it uses less digits than its factorization.

12123485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588887 (or 6588881 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 12123485840 in words is "twelve billion, one hundred twenty-three million, four hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 6588851 13177702 26355404 32944255 52710808 65888510 105421616 131777020 151543573 263554040 303087146 527108080 606174292 757717865 1212348584 1515435730 2424697168 3030871460 6061742920 12123485840