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12287508072 = 2337272926801
BaseRepresentation
bin10110111000110010…
…00111111001101000
31011201100010002021120
423130121013321220
5200131100224242
65351135535240
7613332044460
oct133431077150
934640102246
1012287508072
115235a83754
12246b08a520
13120a8aa748
14847c9cba0
154bdb131ec
hex2dc647e68

12287508072 has 64 divisors (see below), whose sum is σ = 35121340800. Its totient is φ = 3509299200.

The previous prime is 12287508071. The next prime is 12287508089. The reversal of 12287508072 is 27080578221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12287508071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445072 + ... + 471872.

It is an arithmetic number, because the mean of its divisors is an integer number (548770950).

Almost surely, 212287508072 is an apocalyptic number.

12287508072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12287508072 is an abundant number, since it is smaller than the sum of its proper divisors (22833832728).

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

12287508072 is a wasteful number, since it uses less digits than its factorization.

12287508072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29546 (or 29542 counting only the distinct ones).

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

The spelling of 12287508072 in words is "twelve billion, two hundred eighty-seven million, five hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2729 5458 8187 10916 16374 19103 21832 26801 32748 38206 53602 57309 65496 76412 80403 107204 114618 152824 160806 187607 214408 229236 321612 375214 458472 562821 643224 750428 1125642 1500856 2251284 4502568 73139929 146279858 219419787 292559716 438839574 511979503 585119432 877679148 1023959006 1535938509 1755358296 2047918012 3071877018 4095836024 6143754036 12287508072