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12420855580 = 2257793892887
BaseRepresentation
bin10111001000101011…
…10011011100011100
31012001122000211200011
423210111303130130
5200414214334310
65412302013004
7616541346640
oct134425633434
935048024604
1012420855580
1152a4281701
1224a7877164
13122c3c8ab3
1485b890c20
154ca6a378a
hex2e457371c

12420855580 has 96 divisors (see below), whose sum is σ = 30275481600. Its totient is φ = 4192411392.

The previous prime is 12420855553. The next prime is 12420855583. The reversal of 12420855580 is 8555802421.

It is a super-3 number, since 3×124208555803 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420855583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4300897 + ... + 4303783.

It is an arithmetic number, because the mean of its divisors is an integer number (315369600).

Almost surely, 212420855580 is an apocalyptic number.

12420855580 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 12420855580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137740800).

12420855580 is an abundant number, since it is smaller than the sum of its proper divisors (17854626020).

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

12420855580 is a wasteful number, since it uses less digits than its factorization.

12420855580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 40.

The spelling of 12420855580 in words is "twelve billion, four hundred twenty million, eight hundred fifty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 389 395 553 778 790 1106 1556 1580 1945 2212 2723 2765 2887 3890 5446 5530 5774 7780 10892 11060 11548 13615 14435 20209 27230 28870 30731 40418 54460 57740 61462 80836 101045 122924 153655 202090 215117 228073 307310 404180 430234 456146 614620 860468 912292 1075585 1123043 1140365 1596511 2151170 2246086 2280730 3193022 4302340 4492172 4561460 5615215 6386044 7861301 7982555 11230430 15722602 15965110 22460860 31445204 31930220 39306505 78613010 88720397 157226020 177440794 354881588 443601985 621042779 887203970 1242085558 1774407940 2484171116 3105213895 6210427790 12420855580