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12419861220 = 2235513196579
BaseRepresentation
bin10111001000100100…
…00000101011100100
31012001120011022200000
423210102000223210
5200413441024340
65412224421300
7616530035634
oct134422005344
935046138600
1012419861220
1152a3762618
1224a7477830
13122c13b310
1485b6b26c4
154ca558d30
hex2e4480ae4

12419861220 has 144 divisors (see below), whose sum is σ = 42074410560. Its totient is φ = 3057181056.

The previous prime is 12419861213. The next prime is 12419861243. The reversal of 12419861220 is 2216891421.

12419861220 is a `hidden beast` number, since 1 + 2 + 4 + 19 + 8 + 612 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35110 + ... + 161469.

Almost surely, 212419861220 is an apocalyptic number.

12419861220 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 12419861220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037205280).

12419861220 is an abundant number, since it is smaller than the sum of its proper divisors (29654549340).

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

12419861220 is a wasteful number, since it uses less digits than its factorization.

12419861220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196616 (or 196602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12419861220 in words is "twelve billion, four hundred nineteen million, eight hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 196579 393158 589737 786316 982895 1179474 1769211 1965790 2358948 2555527 2948685 3538422 3931580 5111054 5307633 5897370 7076844 7666581 8846055 10222108 10615266 11794740 12777635 15333162 15922899 17692110 21230532 22999743 25555270 26538165 30666324 31845798 35384220 38332905 45999486 47768697 51110540 53076330 63691596 68999229 76665810 79614495 91998972 95537394 106152660 114998715 137998458 153331620 159228990 191074788 206997687 229997430 238843485 275996916 318457980 344996145 413995374 459994860 477686970 620993061 689992290 827990748 955373940 1034988435 1241986122 1379984580 2069976870 2483972244 3104965305 4139953740 6209930610 12419861220