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4224103120120 = 23513291392015201
BaseRepresentation
bin111101011110000000001…
…010100111110011111000
3112221211011000020202100011
4331132000022213303320
51023201430344320440
612552305353351304
7614116133046262
oct75360012476370
915854130222304
104224103120120
1113894830a8754
125827ab708534
1324843c8aa960
1410863a620b32
1574d2a4de9ea
hex3d7802a7cf8

4224103120120 has 128 divisors (see below), whose sum is σ = 10664448984000. Its totient is φ = 1495052697600.

The previous prime is 4224103120117. The next prime is 4224103120151. The reversal of 4224103120120 is 210213014224.

It is a junction number, because it is equal to n+sod(n) for n = 4224103120091 and 4224103120100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088520 + ... + 3103720.

Almost surely, 24224103120120 is an apocalyptic number.

4224103120120 is a gapful number since it is divisible by the number (40) 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 4224103120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332224492000).

4224103120120 is an abundant number, since it is smaller than the sum of its proper divisors (6440345863880).

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

4224103120120 is a wasteful number, since it uses less digits than its factorization.

4224103120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015393 (or 2015389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4224103120120 its reverse (210213014224), we get a palindrome (4434316134344).

The spelling of 4224103120120 in words is "four trillion, two hundred twenty-four billion, one hundred three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 139 145 232 260 278 290 377 520 556 580 695 754 1112 1160 1390 1508 1807 1885 2780 3016 3614 3770 4031 5560 7228 7540 8062 9035 14456 15080 16124 18070 20155 32248 36140 40310 52403 72280 80620 104806 161240 209612 262015 419224 524030 1048060 2015201 2096120 4030402 8060804 10076005 16121608 20152010 26197613 40304020 52395226 58440829 80608040 104790452 116881658 130988065 209580904 233763316 261976130 280112939 292204145 467526632 523952260 560225878 584408290 759730777 1047904520 1120451756 1168816580 1400564695 1519461554 2240903512 2337633160 2801129390 3038923108 3641468207 3798653885 5602258780 6077846216 7282936414 7597307770 8123275231 11204517560 14565872828 15194615540 16246550462 18207341035 29131745656 30389231080 32493100924 36414682070 40616376155 64986201848 72829364140 81232752310 105602578003 145658728280 162465504620 211205156006 324931009240 422410312012 528012890015 844820624024 1056025780030 2112051560060 4224103120120