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22120011220112 = 24131943320340639
BaseRepresentation
bin1010000011110001101110…
…11010010100010010010000
32220022122121121121000012222
411001320313122110102100
510344403240333020422
6115013443132040212
74442055333043031
oct501706732242220
986278547530188
1022120011220112
117059053736863
12259300b003068
13c45ba6160490
14566885734a88
152855d3cd3842
hex141e37694490

22120011220112 has 160 divisors (see below), whose sum is σ = 49730017075200. Its totient is φ = 9443797848576.

The previous prime is 22120011220091. The next prime is 22120011220117. The reversal of 22120011220112 is 21102211002122.

It is not an unprimeable number, because it can be changed into a prime (22120011220117) 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 31 ways as a sum of consecutive naturals, for example, 544284689 + ... + 544325327.

It is an arithmetic number, because the mean of its divisors is an integer number (310812606720).

Almost surely, 222120011220112 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 22120011220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24865008537600).

22120011220112 is an abundant number, since it is smaller than the sum of its proper divisors (27610005855088).

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

22120011220112 is a wasteful number, since it uses less digits than its factorization.

22120011220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43925 (or 43919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22120011220112 its reverse (21102211002122), we get a palindrome (43222222222234).

The spelling of 22120011220112 in words is "twenty-two trillion, one hundred twenty billion, eleven million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3203 3268 3952 4472 6406 6536 8944 10621 12812 13072 21242 25624 40639 41639 42484 51248 60857 81278 83278 84968 121714 137729 162556 166556 169936 243428 275458 325112 333112 486856 528307 550916 650224 666224 772141 791141 973712 1056614 1101832 1544282 1582282 1747477 1790477 2113228 2203664 2616851 3088564 3164564 3494954 3580954 4226456 5233702 6177128 6329128 6989908 7161908 8452912 10037833 10467404 12354256 12658256 13979816 14323816 20075666 20934808 22717201 27959632 28647632 33202063 34019063 40151332 41869616 45434402 66404126 68038126 80302664 90868804 130166717 132808252 136076252 160605328 181737608 260333434 265616504 272152504 363475216 431626819 520666868 531233008 544305008 863253638 1041333736 1692167321 1726507276 2082667472 2473167623 3384334642 3453014552 4946335246 5597168831 6768669284 6906029104 9892670492 11194337662 13537338568 19785340984 22388675324 27074677136 32151179099 39570681968 44777350648 64302358198 72763194803 89554701296 106346207789 128604716396 145526389606 212692415578 257209432792 291052779212 425384831156 514418865584 582105558424 850769662312 1164211116848 1382500701257 1701539324624 2765001402514 5530002805028 11060005610056 22120011220112