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12002200020 = 22325892932557
BaseRepresentation
bin10110010110110001…
…10000100111010100
31010222110020221012200
423023120300213110
5144040030400040
65302544444500
7603266005536
oct131330604724
933873227180
1012002200020
1150a9a24578
1223ab619730
131193755005
1481c031856
154a3a57630
hex2cb6309d4

12002200020 has 144 divisors (see below), whose sum is σ = 36955835280. Its totient is φ = 3152590848.

The previous prime is 12002199991. The next prime is 12002200061. The reversal of 12002200020 is 2000220021.

It can be written as a sum of positive squares in 8 ways, for example, as 121104 + 12002078916 = 348^2 + 109554^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12002199975 and 12002200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4692582 + ... + 4695138.

It is an arithmetic number, because the mean of its divisors is an integer number (256637745).

Almost surely, 212002200020 is an apocalyptic number.

12002200020 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 12002200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477917640).

12002200020 is an abundant number, since it is smaller than the sum of its proper divisors (24953635260).

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

12002200020 is a wasteful number, since it uses less digits than its factorization.

12002200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12002200020 its reverse (2000220021), we get a palindrome (14002420041).

The spelling of 12002200020 in words is "twelve billion, two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 293 356 445 534 586 801 879 890 1068 1172 1335 1465 1602 1758 1780 2557 2637 2670 2930 3204 3516 4005 4395 5114 5274 5340 5860 7671 8010 8790 10228 10548 12785 13185 15342 16020 17580 23013 25570 26077 26370 30684 38355 46026 51140 52154 52740 76710 78231 92052 104308 115065 130385 153420 156462 227573 230130 234693 260770 312924 391155 455146 460260 469386 521540 682719 749201 782310 910292 938772 1137865 1173465 1365438 1498402 1564620 2048157 2247603 2275730 2346930 2730876 2996804 3413595 3746005 4096314 4495206 4551460 4693860 6742809 6827190 7492010 8192628 8990412 10240785 11238015 13485618 13654380 14984020 20481570 22476030 26971236 33714045 40963140 44952060 66678889 67428090 133357778 134856180 200036667 266715556 333394445 400073334 600110001 666788890 800146668 1000183335 1200220002 1333577780 2000366670 2400440004 3000550005 4000733340 6001100010 12002200020