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12017098240 = 2957670597
BaseRepresentation
bin10110011000100011…
…00101111000000000
31011000111021211201121
423030101211320000
5144102334120430
65304240042024
7603536435560
oct131421457000
934014254647
1012017098240
11510737a854
1223b4603314
131196870224
1481ddccda0
154a4eeba7a
hex2cc465e00

12017098240 has 80 divisors (see below), whose sum is σ = 32929044192. Its totient is φ = 4120141824.

The previous prime is 12017098217. The next prime is 12017098241. The reversal of 12017098240 is 4289071021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120170982402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12017098196 and 12017098205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12017098241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 317379 + ... + 353218.

Almost surely, 212017098240 is an apocalyptic number.

12017098240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12017098240 is an abundant number, since it is smaller than the sum of its proper divisors (20911945952).

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

12017098240 is an frugal number, since it uses more digits than its factorization.

12017098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670627 (or 670611 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 12017098240 in words is "twelve billion, seventeen million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 670597 1341194 2682388 3352985 4694179 5364776 6705970 9388358 10729552 13411940 18776716 21459104 23470895 26823880 37553432 42918208 46941790 53647760 75106864 85836416 93883580 107295520 150213728 171672832 187767160 214591040 300427456 343345664 375534320 429182080 600854912 751068640 858364160 1201709824 1502137280 1716728320 2403419648 3004274560 6008549120 12017098240