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12121433412121 = 1125713297322459
BaseRepresentation
bin1011000001100011110110…
…1110111001001000011001
31120220210112112110121001201
42300120331232321020121
53042044143423141441
641440302025314201
72360513264000005
oct260307556711031
946823475417051
1012121433412121
113953742179740
12143926b635961
1369c07a8537b7
142dc975453705
1516048db6ac31
hexb063dbb9219

12121433412121 has 16 divisors (see below), whose sum is σ = 13275874255680. Its totient is φ = 10975748014080.

The previous prime is 12121433412091. The next prime is 12121433412217.

12121433412121 is nontrivially palindromic in base 10.

12121433412121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12121433412121 - 229 = 12120896541209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12121433412121.

It is not an unprimeable number, because it can be changed into a prime (12121433412421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37429390 + ... + 37751848.

It is an arithmetic number, because the mean of its divisors is an integer number (829742140980).

Almost surely, 212121433412121 is an apocalyptic number.

12121433412121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121433412121 is a deficient number, since it is larger than the sum of its proper divisors (1154440843559).

12121433412121 is a wasteful number, since it uses less digits than its factorization.

12121433412121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336024.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1212143 and 3412121, that added together give a palindrome (4624264).

The spelling of 12121433412121 in words is "twelve trillion, one hundred twenty-one billion, four hundred thirty-three million, four hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 257 2827 13297 146267 322459 3417329 3547049 37590619 82871963 911591593 4287737323 47165110553 1101948492011 12121433412121