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12126507560 = 235191313492
BaseRepresentation
bin10110100101100101…
…11101001000101000
31011022010011102002122
423102302331020220
5144313341220220
65323145050412
7606335420306
oct132262751050
934263142078
1012126507560
115163108682
122425186a08
1311b342977b
1483074d276
154ae90e425
hex2d2cbd228

12126507560 has 96 divisors (see below), whose sum is σ = 29023077600. Its totient is φ = 4547162880.

The previous prime is 12126507521. The next prime is 12126507571. The reversal of 12126507560 is 6570562121.

It is a self number, because there is not a number n which added to its sum of digits gives 12126507560.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34746266 + ... + 34746614.

It is an arithmetic number, because the mean of its divisors is an integer number (302323725).

Almost surely, 212126507560 is an apocalyptic number.

12126507560 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 12126507560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511538800).

12126507560 is an abundant number, since it is smaller than the sum of its proper divisors (16896570040).

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

12126507560 is a wasteful number, since it uses less digits than its factorization.

12126507560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 12126507560 in words is "twelve billion, one hundred twenty-six million, five hundred seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 131 152 190 262 349 380 524 655 698 760 1048 1310 1396 1745 2489 2620 2792 3490 4978 5240 6631 6980 9956 12445 13262 13960 19912 24890 26524 33155 45719 49780 53048 66310 91438 99560 121801 132620 182876 228595 243602 265240 365752 457190 487204 609005 868661 914380 974408 1218010 1737322 1828760 2314219 2436020 3474644 4343305 4628438 4872040 6949288 8686610 9256876 11571095 15955931 17373220 18513752 23142190 31911862 34746440 46284380 63823724 79779655 92568760 127647448 159559310 303162689 319118620 606325378 638237240 1212650756 1515813445 2425301512 3031626890 6063253780 12126507560