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12120002212120 = 2351194132926321
BaseRepresentation
bin1011000001011110100001…
…1011010011000100011000
31120220122211210102002202021
42300113220123103010120
53042033231031241440
641435504021544224
72360432645000155
oct260275033230430
946818753362667
1012120002212120
11395307830aa20
121438b30275074
1369bbb019caaa
142dc87b33d22c
151604081b184a
hexb05e86d3118

12120002212120 has 64 divisors (see below), whose sum is σ = 29752266932640. Its totient is φ = 4406803814400.

The previous prime is 12120002212117. The next prime is 12120002212169. The reversal of 12120002212120 is 2121220002121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120002212094 and 12120002212103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2678560 + ... + 5604880.

Almost surely, 212120002212120 is an apocalyptic number.

12120002212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120002212120 is an abundant number, since it is smaller than the sum of its proper divisors (17632264720520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12120002212120 is a wasteful number, since it uses less digits than its factorization.

12120002212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935756 (or 2935752 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120002212120 its reverse (2121220002121), we get a palindrome (14241222214241).

The spelling of 12120002212120 in words is "twelve trillion, one hundred twenty billion, two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9413 18826 37652 47065 75304 94130 103543 188260 207086 376520 414172 517715 828344 1035430 2070860 2926321 4141720 5852642 11705284 14631605 23410568 29263210 32189531 58526420 64379062 117052840 128758124 160947655 257516248 321895310 643790620 1287581240 27545459573 55090919146 110181838292 137727297865 220363676584 275454595730 303000055303 550909191460 606000110606 1101818382920 1212000221212 1515000276515 2424000442424 3030000553030 6060001106060 12120002212120