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12121022012121 = 3211191641018669
BaseRepresentation
bin1011000001100010010100…
…1101100001101011011001
31120220202110212100022100200
42300120211031201223121
53042042323113341441
641440153131452413
72360500140105051
oct260304515415331
946822425308320
1012121022012121
113953550a27840
1214391758b7109
1369c013550349
142dc936962561
151604679a47b6
hexb0625361ad9

12121022012121 has 24 divisors (see below), whose sum is σ = 19199791203840. Its totient is φ = 7307612815200.

The previous prime is 12121022012111. The next prime is 12121022012123.

12121022012121 is a `hidden beast` number, since 1 + 21 + 210 + 220 + 1 + 212 + 1 = 666.

12121022012121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12121022012121 - 25 = 12121022012089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121022012094 and 12121022012103.

It is not an unprimeable number, because it can be changed into a prime (12121022012123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320490426 + ... + 320528243.

It is an arithmetic number, because the mean of its divisors is an integer number (799991300160).

Almost surely, 212121022012121 is an apocalyptic number.

12121022012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121022012121 is a deficient number, since it is larger than the sum of its proper divisors (7078769191719).

12121022012121 is a wasteful number, since it uses less digits than its factorization.

12121022012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641018877 (or 641018874 counting only the distinct ones).

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

It can be divided in two parts, 1212102 and 2012121, that added together give a palindrome (3224223).

The spelling of 12121022012121 in words is "twelve trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 191 573 1719 2101 6303 18909 641018669 1923056007 5769168021 7051205359 21153616077 63460848231 122434565779 367303697337 1101911092011 1346780223569 4040340670707 12121022012121