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1220220101120 = 2951812633417
BaseRepresentation
bin10001110000011010110…
…010010010001000000000
311022122121020101200012112
4101300122302102020000
5124443002321213440
62332321131314452
7154105122504116
oct21603262221000
94278536350175
101220220101120
11430546488369
121785a12aba28
138b0b2767097
14430b7b45ab6
1521b19e31965
hex11c1ac92200

1220220101120 has 80 divisors (see below), whose sum is σ = 2941833382488. Its totient is φ = 485391237120.

The previous prime is 1220220101081. The next prime is 1220220101129. The reversal of 1220220101120 is 211010220221.

It can be written as a sum of positive squares in 4 ways, for example, as 981748052224 + 238472048896 = 990832^2 + 488336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1220220101095 and 1220220101104.

It is not an unprimeable number, because it can be changed into a prime (1220220101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853349 + ... + 1780068.

Almost surely, 21220220101120 is an apocalyptic number.

1220220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220220101120 is an abundant number, since it is smaller than the sum of its proper divisors (1721613281368).

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

1220220101120 is an equidigital number, since it uses as much as digits as its factorization.

1220220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633621 (or 2633605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220220101120 its reverse (211010220221), we get a palindrome (1431230321341).

It can be divided in two parts, 1220220101 and 120, that added together give a palindrome (1220220221).

The spelling of 1220220101120 in words is "one trillion, two hundred twenty billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1280 1448 1810 2560 2896 3620 5792 7240 11584 14480 23168 28960 46336 57920 92672 115840 231680 463360 2633417 5266834 10533668 13167085 21067336 26334170 42134672 52668340 84269344 105336680 168538688 210673360 337077376 421346720 476648477 674154752 842693440 953296954 1348309504 1685386880 1906593908 2383242385 3370773760 3813187816 4766484770 6741547520 7626375632 9532969540 15252751264 19065939080 30505502528 38131878160 61011005056 76263756320 122022010112 152527512640 244044020224 305055025280 610110050560 1220220101120