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12120002121123 = 3313269128364017
BaseRepresentation
bin1011000001011110100001…
…1010111100110110100011
31120220122211210020110221000
42300113220122330312203
53042033231020333443
641435504020003043
72360432644140651
oct260275032746643
946818753213830
1012120002121123
113953078258616
121438b30230483
1369bbb016a550
142dc87b317dd1
151604081948d3
hexb05e86bcda3

12120002121123 has 32 divisors (see below), whose sum is σ = 19408639521600. Its totient is φ = 7430736158208.

The previous prime is 12120002121083. The next prime is 12120002121137. The reversal of 12120002121123 is 32112120002121.

It is not a de Polignac number, because 12120002121123 - 210 = 12120002120099 is a prime.

It is a super-2 number, since 2×121200021211232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120002121096 and 12120002121105.

It is not an unprimeable number, because it can be changed into a prime (12120002121163) 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 31 ways as a sum of consecutive naturals, for example, 64087590 + ... + 64276427.

It is an arithmetic number, because the mean of its divisors is an integer number (606519985050).

Almost surely, 212120002121123 is an apocalyptic number.

12120002121123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12120002121123 is a deficient number, since it is larger than the sum of its proper divisors (7288637400477).

12120002121123 is a wasteful number, since it uses less digits than its factorization.

12120002121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128364308 (or 128364302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12120002121123 its reverse (32112120002121), we get a palindrome (44232122123244).

The spelling of 12120002121123 in words is "twelve trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 269 351 807 2421 3497 7263 10491 31473 94419 128364017 385092051 1155276153 1668732221 3465828459 5006196663 15018589989 34529920573 45055769967 103589761719 310769285157 448888967449 932307855471 1346666902347 4040000707041 12120002121123