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120220012111221 = 32112591871099471
BaseRepresentation
bin11011010101011011100111…
…000111011110010101110101
3120202122220212100101022011100
4123111123213013132111311
5111224141041100024341
61103404151112000313
734215415654236561
oct3325334707362565
9522586770338140
10120220012111221
1135340025786800
121159753a990099
1352109107a4279
142198972caa6a1
15dd72e99393b6
hex6d56e71de575

120220012111221 has 36 divisors (see below), whose sum is σ = 194107859225280. Its totient is φ = 71625687711600.

The previous prime is 120220012111211. The next prime is 120220012111223. The reversal of 120220012111221 is 122111210022021.

120220012111221 is a `hidden beast` number, since 12 + 0 + 220 + 0 + 1 + 211 + 1 + 221 = 666.

It is not a de Polignac number, because 120220012111221 - 27 = 120220012111093 is a prime.

It is a super-2 number, since 2×1202200121112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120220012111194 and 120220012111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220012111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 935485485 + ... + 935613986.

It is an arithmetic number, because the mean of its divisors is an integer number (5391884978480).

Almost surely, 2120220012111221 is an apocalyptic number.

120220012111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120220012111221 is a deficient number, since it is larger than the sum of its proper divisors (73887847114059).

120220012111221 is a wasteful number, since it uses less digits than its factorization.

120220012111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871099558 (or 1871099544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120220012111221 its reverse (122111210022021), we get a palindrome (242331222133242).

The spelling of 120220012111221 in words is "one hundred twenty trillion, two hundred twenty billion, twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 59 99 121 177 363 531 649 1089 1947 5841 7139 21417 64251 1871099471 5613298413 16839895239 20582094181 61746282543 110394868789 185238847629 226403035991 331184606367 679209107973 993553819101 1214343556679 2037627323919 3643030670037 10929092010111 13357779123469 40073337370407 120220012111221