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12128016560 = 2451199113907
BaseRepresentation
bin10110100101110001…
…01101100010110000
31011022020000002001112
423102320231202300
5144314233012220
65323241252452
7606354303602
oct132270554260
934266002045
1012128016560
115163a49390
122425794128
1311b383757a
14830a23172
154aeb0b5c5
hex2d2e2d8b0

12128016560 has 80 divisors (see below), whose sum is σ = 30794314752. Its totient is φ = 4405420800.

The previous prime is 12128016557. The next prime is 12128016569. The reversal of 12128016560 is 6561082121.

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

It is not an unprimeable number, because it can be changed into a prime (12128016569) 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, 865127 + ... + 879033.

Almost surely, 212128016560 is an apocalyptic number.

12128016560 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 12128016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397157376).

12128016560 is an abundant number, since it is smaller than the sum of its proper divisors (18666298192).

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

12128016560 is a wasteful number, since it uses less digits than its factorization.

12128016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14922 (or 14916 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 12128016560 its reverse (6561082121), we get a palindrome (18689098681).

The spelling of 12128016560 in words is "twelve billion, one hundred twenty-eight million, sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 991 1982 3964 4955 7928 9910 10901 13907 15856 19820 21802 27814 39640 43604 54505 55628 69535 79280 87208 109010 111256 139070 152977 174416 218020 222512 278140 305954 436040 556280 611908 764885 872080 1112560 1223816 1529770 2447632 3059540 6119080 12238160 13781837 27563674 55127348 68909185 110254696 137818370 151600207 220509392 275636740 303200414 551273480 606400828 758001035 1102546960 1212801656 1516002070 2425603312 3032004140 6064008280 12128016560