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22010112121120 = 255461298401737
BaseRepresentation
bin1010000000100101000001…
…11010100001100100100000
32212221010221120001100000021
411000102200322201210200
510341103202200333440
6114451150025003224
74431115045106434
oct500224072414440
985833846040007
1022010112121120
117016488543112
12257585a023514
13c38710831216
1456141bad89c4
152828009bc84a
hex1404a0ea1920

22010112121120 has 48 divisors (see below), whose sum is σ = 52111685917368. Its totient is φ = 8784947107840.

The previous prime is 22010112121093. The next prime is 22010112121169. The reversal of 22010112121120 is 2112121101022.

It can be written as a sum of positive squares in 4 ways, for example, as 16831556506384 + 5178555614736 = 4102628^2 + 2275644^2 .

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 = 22010112121094 and 22010112121103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149127109 + ... + 149274628.

Almost surely, 222010112121120 is an apocalyptic number.

22010112121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010112121120 is an abundant number, since it is smaller than the sum of its proper divisors (30101573796248).

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

22010112121120 is a wasteful number, since it uses less digits than its factorization.

22010112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298402213 (or 298402205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22010112121120 its reverse (2112121101022), we get a palindrome (24122233222142).

The spelling of 22010112121120 in words is "twenty-two trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 461 922 1844 2305 3688 4610 7376 9220 14752 18440 36880 73760 298401737 596803474 1193606948 1492008685 2387213896 2984017370 4774427792 5968034740 9548855584 11936069480 23872138960 47744277920 137563200757 275126401514 550252803028 687816003785 1100505606056 1375632007570 2201011212112 2751264015140 4402022424224 5502528030280 11005056060560 22010112121120