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1220000212020 = 2235101677297371
BaseRepresentation
bin10001110000001101101…
…011011110010000110100
311022122000220122011001210
4101300031223132100310
5124442030023241040
62332243234321420
7154066512462042
oct21601553362064
94278026564053
101220000212020
11430443350437
1217853b729270
138b079037ca5
1443096867392
1521b05999480
hex11c0dade434

1220000212020 has 96 divisors (see below), whose sum is σ = 3454929749376. Its totient is φ = 321635392000.

The previous prime is 1220000211953. The next prime is 1220000212033. The reversal of 1220000212020 is 202120000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220000211987 and 1220000212005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3953935 + ... + 4251305.

It is an arithmetic number, because the mean of its divisors is an integer number (35988851556).

Almost surely, 21220000212020 is an apocalyptic number.

1220000212020 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 1220000212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727464874688).

1220000212020 is an abundant number, since it is smaller than the sum of its proper divisors (2234929537356).

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

1220000212020 is a wasteful number, since it uses less digits than its factorization.

1220000212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298161 (or 298159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220000212020 its reverse (202120000221), we get a palindrome (1422120212241).

The spelling of 1220000212020 in words is "one trillion, two hundred twenty billion, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 677 1010 1212 1354 1515 2020 2031 2708 3030 3385 4062 6060 6770 8124 10155 13540 20310 40620 68377 136754 205131 273508 297371 341885 410262 594742 683770 820524 892113 1025655 1189484 1367540 1486855 1784226 2051310 2973710 3568452 4102620 4460565 5947420 8921130 17842260 30034471 60068942 90103413 120137884 150172355 180206826 201320167 300344710 360413652 402640334 450517065 600689420 603960501 805280668 901034130 1006600835 1207921002 1802068260 2013201670 2415842004 3019802505 4026403340 6039605010 12079210020 20333336867 40666673734 61000010601 81333347468 101666684335 122000021202 203333368670 244000042404 305000053005 406666737340 610000106010 1220000212020