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11220022022120 = 2352340988733617
BaseRepresentation
bin1010001101000101110101…
…1011010100111111101000
31110201121211121220110201122
42203101131123110333220
52432312101114201440
635510223523034412
72235422414414552
oct243213533247750
943647747813648
1011220022022120
113636425a2072a
12131262280ba08
1363507485b7a2
142ab0a28324d2
15146cd27997b5
hexa345d6d4fe8

11220022022120 has 128 divisors (see below), whose sum is σ = 26437625510400. Its totient is φ = 4277426774016.

The previous prime is 11220022022101. The next prime is 11220022022137. The reversal of 11220022022120 is 2122022002211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333743552 + ... + 333777168.

It is an arithmetic number, because the mean of its divisors is an integer number (206543949300).

Almost surely, 211220022022120 is an apocalyptic number.

11220022022120 is a gapful number since it is divisible by the number (10) 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 11220022022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218812755200).

11220022022120 is an abundant number, since it is smaller than the sum of its proper divisors (15217603488280).

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

11220022022120 is a wasteful number, since it uses less digits than its factorization.

11220022022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34947 (or 34943 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11220022022120 its reverse (2122022002211), we get a palindrome (13342044024331).

The spelling of 11220022022120 in words is "eleven trillion, two hundred twenty billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 409 460 818 887 920 1636 1774 2045 3272 3548 4090 4435 7096 8180 8870 9407 16360 17740 18814 20401 33617 35480 37628 40802 47035 67234 75256 81604 94070 102005 134468 163208 168085 188140 204010 268936 336170 362783 376280 408020 672340 725566 773191 816040 1344680 1451132 1546382 1813915 2902264 3092764 3627830 3865955 6185528 7255660 7731910 8344009 13749353 14511320 15463820 16688018 27498706 29818279 30927640 33376036 41720045 54997412 59636558 66752072 68746765 83440090 109994824 119273116 137493530 149091395 166880180 238546232 274987060 298182790 316235119 333760360 549974120 596365580 632470238 685820417 1192731160 1264940476 1371640834 1581175595 2529880952 2743281668 3162351190 3429102085 5486563336 6324702380 6858204170 12195676111 12649404760 13716408340 24391352222 27432816680 48782704444 60978380555 97565408888 121956761110 243913522220 280500550553 487827044440 561001101106 1122002202212 1402502752765 2244004404424 2805005505530 5610011011060 11220022022120