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11222012212020 = 2232571986710031
BaseRepresentation
bin1010001101001101010000…
…0011010011001100110100
31110201210222022210121000200
42203103110003103030310
52432330140111241040
635511153215440500
72235522631640511
oct243232403231464
943653868717020
1011222012212020
113637257377875
121312a99226130
13635300c7c84c
142ab210c96308
15146d9c370630
hexa34d40d3334

11222012212020 has 72 divisors (see below), whose sum is σ = 34087447779840. Its totient is φ = 2988374473920.

The previous prime is 11222012212009. The next prime is 11222012212027. The reversal of 11222012212020 is 2021221022211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11222012211984 and 11222012212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222012212027) 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, 43225596 + ... + 43484435.

It is an arithmetic number, because the mean of its divisors is an integer number (473436774720).

Almost surely, 211222012212020 is an apocalyptic number.

11222012212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222012212020 is an abundant number, since it is smaller than the sum of its proper divisors (22865435567820).

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

11222012212020 is a wasteful number, since it uses less digits than its factorization.

11222012212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86710765 (or 86710760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222012212020 its reverse (2021221022211), we get a palindrome (13243233234231).

The spelling of 11222012212020 in words is "eleven trillion, two hundred twenty-two billion, twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 719 1438 2157 2876 3595 4314 6471 7190 8628 10785 12942 14380 21570 25884 32355 43140 64710 129420 86710031 173420062 260130093 346840124 433550155 520260186 780390279 867100310 1040520372 1300650465 1560780558 1734200620 2601300930 3121561116 3901951395 5202601860 7803902790 15607805580 62344512289 124689024578 187033536867 249378049156 311722561445 374067073734 561100610601 623445122890 748134147468 935167684335 1122201221202 1246890245780 1870335368670 2244402442404 2805503053005 3740670737340 5611006106010 11222012212020