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12127333320 = 2332533687037
BaseRepresentation
bin10110100101101100…
…00110101111001000
31011022011201100211100
423102312012233020
5144314044131240
65323214501400
7606345426624
oct132266065710
934264640740
1012127333320
115163622023
122425504860
1311b365859b
148308c6184
154aea23e30
hex2d2d86bc8

12127333320 has 48 divisors (see below), whose sum is σ = 39413834460. Its totient is φ = 3233955456.

The previous prime is 12127333313. The next prime is 12127333321. The reversal of 12127333320 is 2333372121.

12127333320 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 7 + 333 + 320 = 666.

12127333320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11572165476 + 555167844 = 107574^2 + 23562^2 .

It is not an unprimeable number, because it can be changed into a prime (12127333321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16843159 + ... + 16843878.

Almost surely, 212127333320 is an apocalyptic number.

12127333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12127333320 is an abundant number, since it is smaller than the sum of its proper divisors (27286501140).

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

12127333320 is a wasteful number, since it uses less digits than its factorization.

12127333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33687054 (or 33687047 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 12127333320 in words is "twelve billion, one hundred twenty-seven million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33687037 67374074 101061111 134748148 168435185 202122222 269496296 303183333 336870370 404244444 505305555 606366666 673740740 808488888 1010611110 1212733332 1347481480 1515916665 2021222220 2425466664 3031833330 4042444440 6063666660 12127333320