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12012222221021 = 1119412715699091
BaseRepresentation
bin1010111011001101000000…
…1111010000101011011101
31120112100122102100021002002
42232303100033100223131
53033302012342033041
641314201054412045
72346566031122651
oct256632017205335
946470572307062
1012012222221021
11391139a316410
121420070b01025
136919948bba29
142d7574d24a61
1515c6eae3959b
hexaecd03d0add

12012222221021 has 64 divisors (see below), whose sum is σ = 14209006694400. Its totient is φ = 10037105280000.

The previous prime is 12012222220919. The next prime is 12012222221081.

12012222221021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12012222221021 - 234 = 11995042351837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012222220984 and 12012222221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012222221081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321326686 + ... + 1321335776.

It is an arithmetic number, because the mean of its divisors is an integer number (222015729600).

Almost surely, 212012222221021 is an apocalyptic number.

12012222221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012222221021 is a deficient number, since it is larger than the sum of its proper divisors (2196784473379).

12012222221021 is a wasteful number, since it uses less digits than its factorization.

12012222221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1201222 and 2221021, that added together give a palindrome (3422243).

The spelling of 12012222221021 in words is "twelve trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 11 19 41 209 271 451 569 779 2981 5149 6259 8569 9091 10811 11111 23329 56639 100001 118921 122221 154199 172729 211109 256619 372731 443251 1696189 1900019 2322199 2463661 2929781 4100041 4875761 5172779 6322159 7081889 27100271 32227591 46809559 56900569 69543749 77900779 98282801 101010101 120121021 212083939 514905149 1081110811 1111111111 1321331231 1401823109 1919191919 2332923329 4029594841 15420054199 21111111109 26634639071 44325543251 57474747469 292981029781 632222222159 1092020201911 12012222221021