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4422120221112 = 2331156331199539
BaseRepresentation
bin100000001011001101011…
…1001111010100110111000
3120122202021011100201202120
41000112122321322212320
51034423000234033422
613223254411201240
7634326155454516
oct100263271724670
916582234321676
104422120221112
111455457642540
125b5053146220
1326100915c4b9
141140632194b6
157a06982d45c
hex4059ae7a9b8

4422120221112 has 128 divisors (see below), whose sum is σ = 12086889984000. Its totient is φ = 1337087200640.

The previous prime is 4422120221069. The next prime is 4422120221117. The reversal of 4422120221112 is 2111220212244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422120221117) 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, 463578439 + ... + 463587977.

It is an arithmetic number, because the mean of its divisors is an integer number (94428828000).

Almost surely, 24422120221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422120221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043444992000).

4422120221112 is an abundant number, since it is smaller than the sum of its proper divisors (7664769762888).

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

4422120221112 is a wasteful number, since it uses less digits than its factorization.

4422120221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4422120221112 its reverse (2111220212244), we get a palindrome (6533340433356).

The spelling of 4422120221112 in words is "four trillion, four hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 563 1126 1689 2252 3119 3378 4504 6193 6238 6756 9357 9539 12386 12476 13512 18579 18714 19078 24772 24952 28617 34309 37158 37428 38156 49544 57234 68618 74316 74856 76312 102927 104929 114468 137236 148632 205854 209858 228936 274472 314787 411708 419716 629574 823416 839432 1259148 1755997 2518296 3511994 5267991 5370457 7023988 10535982 10740914 14047976 16111371 19315967 21071964 21481828 29752141 32222742 38631934 42143928 42963656 57947901 59075027 59504282 64445484 77263868 89256423 115895802 118150054 119008564 128890968 154527736 177225081 178512846 231791604 236300108 238017128 327273551 354450162 357025692 463583208 472600216 654547102 708900324 714051384 981820653 1309094204 1417800648 1963641306 2618188408 3927282612 7854565224 16750455383 33500910766 50251366149 67001821532 100502732298 134003643064 184255009213 201005464596 368510018426 402010929192 552765027639 737020036852 1105530055278 1474040073704 2211060110556 4422120221112