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12022000020 = 22335106120983
BaseRepresentation
bin10110011001001000…
…10010100110010100
31011000211111212201000
423030210102212110
5144110113000040
65304533103300
7603626212512
oct131444224624
934024455630
1012022000020
11510a118608
1223b6187b30
1311978983a4
148209074b2
154a5669130
hex2cc912994

12022000020 has 96 divisors (see below), whose sum is σ = 37438813440. Its totient is φ = 3202692480.

The previous prime is 12021999943. The next prime is 12022000021. The reversal of 12022000020 is 2000022021.

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 = 12021999966 and 12022000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562449 + ... + 583431.

It is an arithmetic number, because the mean of its divisors is an integer number (389987640).

Almost surely, 212022000020 is an apocalyptic number.

12022000020 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 12022000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719406720).

12022000020 is an abundant number, since it is smaller than the sum of its proper divisors (25416813420).

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

12022000020 is a wasteful number, since it uses less digits than its factorization.

12022000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22062 (or 22054 counting only the distinct ones).

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

Adding to 12022000020 its reverse (2000022021), we get a palindrome (14022022041).

The spelling of 12022000020 in words is "twelve billion, twenty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1061 2122 3183 4244 5305 6366 9549 10610 12732 15915 19098 20983 21220 28647 31830 38196 41966 47745 57294 62949 63660 83932 95490 104915 114588 125898 143235 188847 190980 209830 251796 286470 314745 377694 419660 566541 572940 629490 755388 944235 1133082 1258980 1888470 2266164 2832705 3776940 5665410 11330820 22262963 44525926 66788889 89051852 111314815 133577778 200366667 222629630 267155556 333944445 400733334 445259260 601100001 667888890 801466668 1001833335 1202200002 1335777780 2003666670 2404400004 3005500005 4007333340 6011000010 12022000020