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12411300220 = 225111074671129
BaseRepresentation
bin10111000111100010…
…10110100101111100
31012000222001101011221
423203301112211330
5200404243101340
65411321123124
7616364211514
oct134361264574
935028041157
1012411300220
115299945610
1224a46294a4
13122a431737
1485a4c4844
154c991744a
hex2e3c5697c

12411300220 has 96 divisors (see below), whose sum is σ = 28785818880. Its totient is φ = 4457495040.

The previous prime is 12411300173. The next prime is 12411300241. The reversal of 12411300220 is 2200311421.

It is a junction number, because it is equal to n+sod(n) for n = 12411300194 and 12411300203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10992616 + ... + 10993744.

It is an arithmetic number, because the mean of its divisors is an integer number (299852280).

Almost surely, 212411300220 is an apocalyptic number.

12411300220 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 12411300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392909440).

12411300220 is an abundant number, since it is smaller than the sum of its proper divisors (16374518660).

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

12411300220 is a wasteful number, since it uses less digits than its factorization.

12411300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12411300220 its reverse (2200311421), we get a palindrome (14611611641).

The spelling of 12411300220 in words is "twelve billion, four hundred eleven million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 467 535 934 1070 1129 1177 1868 2140 2258 2335 2354 4516 4670 4708 5137 5645 5885 9340 10274 11290 11770 12419 20548 22580 23540 24838 25685 49676 49969 51370 62095 99938 102740 120803 124190 199876 241606 248380 249845 483212 499690 527243 549659 604015 999380 1054486 1099318 1208030 1328833 2108972 2198636 2416060 2636215 2657666 2748295 5272430 5315332 5496590 5799673 6644165 10544860 10993180 11599346 13288330 23198692 26576660 28998365 56415001 57996730 112830002 115993460 225660004 282075005 564150010 620565011 1128300020 1241130022 2482260044 3102825055 6205650110 12411300220