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220012112021121 = 3571129911447279
BaseRepresentation
bin110010000001100110001111…
…110010001000011010000001
31001211222221201100222222200000
4302001212033302020122001
5212314134301134133441
62055532100254150213
764225231143663360
oct6201461762103201
91054887640888600
10220012112021121
11641146815940a2
12208139a31b2369
13959c08c999704
143c489006dd7d7
151a680474222b6
hexc8198fc88681

220012112021121 has 48 divisors (see below), whose sum is σ = 376679616768000. Its totient is φ = 125710069132368.

The previous prime is 220012112021101. The next prime is 220012112021147. The reversal of 220012112021121 is 121120211210022.

220012112021121 is a `hidden beast` number, since 2 + 200 + 1 + 211 + 20 + 211 + 21 = 666.

It is not a de Polignac number, because 220012112021121 - 26 = 220012112021057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220012112021094 and 220012112021103.

It is not an unprimeable number, because it can be changed into a prime (220012112021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13495960 + ... + 24943238.

It is an arithmetic number, because the mean of its divisors is an integer number (7847492016000).

Almost surely, 2220012112021121 is an apocalyptic number.

220012112021121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220012112021121 is a deficient number, since it is larger than the sum of its proper divisors (156667504746879).

220012112021121 is a wasteful number, since it uses less digits than its factorization.

220012112021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458600 (or 11458588 counting only the distinct ones).

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

Adding to 220012112021121 its reverse (121120211210022), we get a palindrome (341132323231143).

The spelling of 220012112021121 in words is "two hundred twenty trillion, twelve billion, one hundred twelve million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 11299 33897 79093 101691 237279 305073 711837 915219 2135511 2745657 6406533 11447279 19219599 34341837 80130953 103025511 240392859 309076533 721178577 927229599 2163535731 2781688797 6490607193 19471821579 129342805421 388028416263 905399637947 1164085248789 2716198913841 3492255746367 8148596741523 10476767239101 24445790224569 31430301717303 73337370673707 220012112021121