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12002962840 = 2351126473833
BaseRepresentation
bin10110010110110111…
…01010110110011000
31010222111200200121021
423023123222312120
5144040224302330
65303013052224
7603305333521
oct131333526630
933874620537
1012002962840
1150aa3a5700
1223ab927074
13119396129b
1481c18d848
154a3b5867a
hex2cb6ead98

12002962840 has 96 divisors (see below), whose sum is σ = 29738651040. Its totient is φ = 4356830720.

The previous prime is 12002962823. The next prime is 12002962849. The reversal of 12002962840 is 4826920021.

It is a super-2 number, since 2×120029628402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002962796 and 12002962805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002962849) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3129564 + ... + 3133396.

It is an arithmetic number, because the mean of its divisors is an integer number (309777615).

Almost surely, 212002962840 is an apocalyptic number.

12002962840 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 12002962840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869325520).

12002962840 is an abundant number, since it is smaller than the sum of its proper divisors (17735688200).

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

12002962840 is a wasteful number, since it uses less digits than its factorization.

12002962840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12002962840 in words is "twelve billion, two million, nine hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 647 968 1210 1294 2420 2588 3235 3833 4840 5176 6470 7117 7666 12940 14234 15332 19165 25880 28468 30664 35585 38330 42163 56936 71170 76660 78287 84326 142340 153320 156574 168652 210815 284680 313148 337304 391435 421630 463793 626296 782870 843260 927586 1565740 1686520 1855172 2318965 2479951 3131480 3710344 4637930 4959902 9275860 9919804 12399755 18551720 19839608 24799510 27279461 49599020 54558922 99198040 109117844 136397305 218235688 272794610 300074071 545589220 600148142 1091178440 1200296284 1500370355 2400592568 3000740710 6001481420 12002962840