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12126960 = 2432516843
BaseRepresentation
bin101110010000…
…101011110000
3211211010001200
4232100223300
511101030320
61111531200
7205035366
oct56205360
924733050
1012126960
11693318a
124089b00
132687a21
141879636
1510e8290
hexb90af0

12126960 has 60 divisors (see below), whose sum is σ = 40728792. Its totient is φ = 3233664.

The previous prime is 12126953. The next prime is 12126971. The reversal of 12126960 is 6962121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7702 + ... + 9141.

Almost surely, 212126960 is an apocalyptic number.

12126960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126960 is an abundant number, since it is smaller than the sum of its proper divisors (28601832).

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

12126960 is a wasteful number, since it uses less digits than its factorization.

12126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12126960 is about 3482.3784975215. The cubic root of 12126960 is about 229.7474227939.

The spelling of 12126960 in words is "twelve million, one hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16843 33686 50529 67372 84215 101058 134744 151587 168430 202116 252645 269488 303174 336860 404232 505290 606348 673720 757935 808464 1010580 1212696 1347440 1515870 2021160 2425392 3031740 4042320 6063480 12126960