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12128613920 = 255234018219
BaseRepresentation
bin10110100101110101…
…11111011000100000
31011022021010102110222
423102322333120200
5144314411121140
65323302142212
7606362342303
oct132272773040
934267112428
1012128613920
115164317175
122425a21968
1311b39b6437
14830b3ab3a
154aebc85b5
hex2d2ebf620

12128613920 has 96 divisors (see below), whose sum is σ = 29977879680. Its totient is φ = 4628377600.

The previous prime is 12128613911. The next prime is 12128613947. The reversal of 12128613920 is 2931682121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471571 + ... + 1479789.

It is an arithmetic number, because the mean of its divisors is an integer number (312269580).

Almost surely, 212128613920 is an apocalyptic number.

12128613920 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 12128613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988939840).

12128613920 is an abundant number, since it is smaller than the sum of its proper divisors (17849265760).

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

12128613920 is a wasteful number, since it uses less digits than its factorization.

12128613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 12128613920 in words is "twelve billion, one hundred twenty-eight million, six hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 401 460 736 802 920 1604 1840 2005 3208 3680 4010 6416 8020 8219 9223 12832 16040 16438 18446 32080 32876 36892 41095 46115 64160 65752 73784 82190 92230 131504 147568 164380 184460 189037 263008 295136 328760 368920 378074 657520 737840 756148 945185 1315040 1475680 1512296 1890370 3024592 3295819 3780740 6049184 6591638 7561480 13183276 15122960 16479095 26366552 30245920 32958190 52733104 65916380 75803837 105466208 131832760 151607674 263665520 303215348 379019185 527331040 606430696 758038370 1212861392 1516076740 2425722784 3032153480 6064306960 12128613920