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22010120221120 = 265557972112703
BaseRepresentation
bin1010000000100101000010…
…11001011011000111000000
32212221010222010021212010021
411000102201121123013000
510341103211234033440
6114451150514343224
74431115204003543
oct500224131330700
985833863255107
1022010120221120
117016492075829
12257586088ab14
13c38712409015
1456141cc0685a
1528280156c84a
hex1404a165b1c0

22010120221120 has 112 divisors (see below), whose sum is σ = 52515230024448. Its totient is φ = 8786646097920.

The previous prime is 22010120221093. The next prime is 22010120221153. The reversal of 22010120221120 is 2112202101022.

It is a happy number.

It is a super-4 number, since 4×220101202211204 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22010120221094 and 22010120221103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732664689 + ... + 1732677391.

Almost surely, 222010120221120 is an apocalyptic number.

22010120221120 is a gapful number since it is divisible by the number (20) 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 22010120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257615012224).

22010120221120 is an abundant number, since it is smaller than the sum of its proper divisors (30505109803328).

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

22010120221120 is a wasteful number, since it uses less digits than its factorization.

22010120221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22998 (or 22988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22010120221120 its reverse (2112202101022), we get a palindrome (24122322322142).

The spelling of 22010120221120 in words is "twenty-two trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 557 1114 2228 2785 4456 5570 8912 9721 11140 12703 17824 19442 22280 25406 35648 38884 44560 48605 50812 63515 77768 89120 97210 101624 127030 155536 178240 194420 203248 254060 311072 388840 406496 508120 622144 777680 812992 1016240 1555360 2032480 3110720 4064960 5414597 7075571 10829194 14151142 21658388 27072985 28302284 35377855 43316776 54145970 56604568 70755710 86633552 108291940 113209136 123485863 141511420 173267104 216583880 226418272 246971726 283022840 346534208 433167760 452836544 493943452 566045680 617429315 866335520 987886904 1132091360 1234858630 1732671040 1975773808 2264182720 2469717260 3951547616 4939434520 7903095232 9878869040 19757738080 39515476160 68781625691 137563251382 275126502764 343908128455 550253005528 687816256910 1100506011056 1375632513820 2201012022112 2751265027640 4402024044224 5502530055280 11005060110560 22010120221120