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1222310441000 = 235311622917839
BaseRepresentation
bin10001110010010111011…
…000010011000000101000
311022211222220201221110002
4101302113120103000220
5130011242433103000
62333304402442132
7154210664215355
oct21622730230050
94284886657402
101222310441000
11431419418690
12178a85363348
138b356851c9c
14432355d962c
1521bdd6db8d5
hex11c97613028

1222310441000 has 128 divisors (see below), whose sum is σ = 3120901056000. Its totient is φ = 444380256000.

The previous prime is 1222310440993. The next prime is 1222310441057. The reversal of 1222310441000 is 1440132221.

It is a super-2 number, since 2×12223104410002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68510081 + ... + 68527919.

It is an arithmetic number, because the mean of its divisors is an integer number (24382039500).

Almost surely, 21222310441000 is an apocalyptic number.

1222310441000 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 1222310441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560450528000).

1222310441000 is an abundant number, since it is smaller than the sum of its proper divisors (1898590615000).

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

1222310441000 is a wasteful number, since it uses less digits than its factorization.

1222310441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100 (or 24086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1222310441000 its reverse (1440132221), we get a palindrome (1223750573221).

The spelling of 1222310441000 in words is "one trillion, two hundred twenty-two billion, three hundred ten million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6229 11000 12458 17839 24916 31145 35678 49832 62290 68519 71356 89195 124580 137038 142712 155725 178390 196229 249160 274076 311450 342595 356780 392458 445975 548152 622900 685190 713560 778625 784916 891950 981145 1245800 1370380 1557250 1569832 1712975 1783900 1962290 2229875 2740760 3114500 3425950 3567800 3924580 4459750 4905725 6229000 6851900 7849160 8564875 8919500 9811450 13703800 17129750 17839000 19622900 24528625 34259500 39245800 49057250 68519000 98114500 111119131 196229000 222238262 444476524 555595655 888953048 1111191310 1222310441 2222382620 2444620882 2777978275 4444765240 4889241764 5555956550 6111552205 9778483528 11111913100 12223104410 13889891375 22223826200 24446208820 27779782750 30557761025 48892417640 55559565500 61115522050 111119131000 122231044100 152788805125 244462088200 305577610250 611155220500 1222310441000