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12982015120 = 2452361115663
BaseRepresentation
bin11000001011100100…
…11101010010010000
31020111201221200211211
430011302131102100
5203041343440440
65544105345504
7636464210404
oct140562352220
936451850754
1012982015120
115562011118
122623798294
1312bb745869
148b2207104
1550ea9ceea
hex305c9d490

12982015120 has 80 divisors (see below), whose sum is σ = 32012093952. Its totient is φ = 4885562880.

The previous prime is 12982015117. The next prime is 12982015121. The reversal of 12982015120 is 2151028921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×129820151202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12982015121) 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, 54409 + ... + 170071.

Almost surely, 212982015120 is an apocalyptic number.

12982015120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006046976).

12982015120 is an abundant number, since it is smaller than the sum of its proper divisors (19030078832).

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

12982015120 is a wasteful number, since it uses less digits than its factorization.

12982015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115760 (or 115754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The spelling of 12982015120 in words is "twelve billion, nine hundred eighty-two million, fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 610 920 976 1220 1403 1840 2440 2806 4880 5612 7015 11224 14030 22448 28060 56120 112240 115663 231326 462652 578315 925304 1156630 1850608 2313260 2660249 4626520 5320498 7055443 9253040 10640996 13301245 14110886 21281992 26602490 28221772 35277215 42563984 53204980 56443544 70554430 106409960 112887088 141108860 162275189 212819920 282217720 324550378 564435440 649100756 811375945 1298201512 1622751890 2596403024 3245503780 6491007560 12982015120