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220200101222112 = 25321169507607709
BaseRepresentation
bin110010000100010101010100…
…110100000001011011100000
31001212122220221122211212100200
4302010111110310001123200
5212330224301403101422
62100154310251145200
764244634532555554
oct6204252464013340
91055586848755320
10220200101222112
116418737a598220
1220844308445200
1395b3a1b84290b
143c53a55591864
151a6cd9b1e12ac
hexc84554d016e0

220200101222112 has 72 divisors (see below), whose sum is σ = 683120768573880. Its totient is φ = 66727303399680.

The previous prime is 220200101222047. The next prime is 220200101222117. The reversal of 220200101222112 is 211222101002022.

It is a happy number.

220200101222112 is a `hidden beast` number, since 220 + 200 + 1 + 0 + 12 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200101222117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34753800687 + ... + 34753807022.

It is an arithmetic number, because the mean of its divisors is an integer number (9487788452415).

Almost surely, 2220200101222112 is an apocalyptic number.

220200101222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220200101222112 is an abundant number, since it is smaller than the sum of its proper divisors (462920667351768).

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

220200101222112 is a wasteful number, since it uses less digits than its factorization.

220200101222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69507607736 (or 69507607725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220200101222112 its reverse (211222101002022), we get a palindrome (431422202224134).

The spelling of 220200101222112 in words is "two hundred twenty trillion, two hundred billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 69507607709 139015215418 208522823127 278030430836 417045646254 556060861672 625568469381 764583684799 834091292508 1112121723344 1251136938762 1529167369598 1668182585016 2224243446688 2293751054397 2502273877524 3058334739196 3336365170032 4587502108794 5004547755048 6116669478392 6672730340064 6881253163191 9175004217588 10009095510096 12233338956784 13762506326382 18350008435176 20018191020192 24466677913568 27525012652764 36700016870352 55050025305528 73400033740704 110100050611056 220200101222112