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12128016480 = 253541616261
BaseRepresentation
bin10110100101110001…
…01101100001100000
31011022020000001221120
423102320231201200
5144314233011410
65323241252240
7606354303426
oct132270554140
934266001846
1012128016480
115163a49318
122425794080
1311b3837518
14830a23116
154aeb0b570
hex2d2e2d860

12128016480 has 96 divisors (see below), whose sum is σ = 39135102048. Its totient is φ = 3155251200.

The previous prime is 12128016377. The next prime is 12128016487. The reversal of 12128016480 is 8461082121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128016487) 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, 288451 + ... + 327810.

It is an arithmetic number, because the mean of its divisors is an integer number (407657313).

Almost surely, 212128016480 is an apocalyptic number.

12128016480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12128016480 is an abundant number, since it is smaller than the sum of its proper divisors (27007085568).

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

12128016480 is a wasteful number, since it uses less digits than its factorization.

12128016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616320 (or 616312 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 12128016480 in words is "twelve billion, one hundred twenty-eight million, sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 616261 1232522 1848783 2465044 3081305 3697566 4930088 6162610 7395132 9243915 9860176 12325220 14790264 18487830 19720352 24650440 25266701 29580528 36975660 49300880 50533402 59161056 73951320 75800103 98601760 101066804 126333505 147902640 151600206 202133608 252667010 295805280 303200412 379000515 404267216 505334020 606400824 758001030 808534432 1010668040 1212801648 1516002060 2021336080 2425603296 3032004120 4042672160 6064008240 12128016480