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4120050120 = 2335197397439
BaseRepresentation
bin1111010110010010…
…1111100111001000
3101122010121020020220
43311210233213020
531414213100440
61520454550040
7204045563634
oct36544574710
911563536226
104120050120
11182472a6aa
1296b968320
135087653a4
142b1283dc4
15191a8a8d0
hexf592f9c8

4120050120 has 128 divisors (see below), whose sum is σ = 12482553600. Its totient is φ = 1087865856.

The previous prime is 4120050089. The next prime is 4120050131. The reversal of 4120050120 is 210500214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4120050120.

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, 9384861 + ... + 9385299.

It is an arithmetic number, because the mean of its divisors is an integer number (97519950).

Almost surely, 24120050120 is an apocalyptic number.

4120050120 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 4120050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241276800).

4120050120 is an abundant number, since it is smaller than the sum of its proper divisors (8362503480).

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

4120050120 is a wasteful number, since it uses less digits than its factorization.

4120050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4120050120 is about 64187.6165626984. The cubic root of 4120050120 is about 1603.1254169221.

Adding to 4120050120 its reverse (210500214), we get a palindrome (4330550334).

The spelling of 4120050120 in words is "four billion, one hundred twenty million, fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 397 439 591 788 794 878 985 1182 1191 1317 1576 1588 1756 1970 1985 2195 2364 2382 2634 2955 3176 3512 3940 3970 4390 4728 4764 5268 5910 5955 6585 7880 7940 8780 9528 10536 11820 11910 13170 15880 17560 23640 23820 26340 47640 52680 78209 86483 156418 172966 174283 234627 259449 312836 345932 348566 391045 432415 469254 518898 522849 625672 691864 697132 782090 864830 871415 938508 1037796 1045698 1173135 1297245 1394264 1564180 1729660 1742830 1877016 2075592 2091396 2346270 2594490 2614245 3128360 3459320 3485660 4182792 4692540 5188980 5228490 6971320 9385080 10377960 10456980 20913960 34333751 68667502 103001253 137335004 171668755 206002506 274670008 343337510 412005012 515006265 686675020 824010024 1030012530 1373350040 2060025060 4120050120