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12120120022120 = 2351167751406573
BaseRepresentation
bin1011000001011110111101…
…1100101101010001101000
31120220200011000002110200121
42300113233130231101220
53042034001211201440
641435523431013024
72360435605240435
oct260275734552150
946820130073617
1012120120022120
113953128866360
121438b6380a174
1369bbcb70ac56
142dc88cc48b8c
151604136d334a
hexb05ef72d468

12120120022120 has 64 divisors (see below), whose sum is σ = 29749897779840. Its totient is φ = 4407240480000.

The previous prime is 12120120022117. The next prime is 12120120022151. The reversal of 12120120022120 is 2122002102121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120120022094 and 12120120022103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29607154 + ... + 30013726.

It is an arithmetic number, because the mean of its divisors is an integer number (464842152810).

Almost surely, 212120120022120 is an apocalyptic number.

12120120022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120120022120 is an abundant number, since it is smaller than the sum of its proper divisors (17629777757720).

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

12120120022120 is a wasteful number, since it uses less digits than its factorization.

12120120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474346 (or 474342 counting only the distinct ones).

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

Adding to 12120120022120 its reverse (2122002102121), we get a palindrome (14242122124241).

The spelling of 12120120022120 in words is "twelve trillion, one hundred twenty billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 67751 135502 271004 338755 406573 542008 677510 745261 813146 1355020 1490522 1626292 2032865 2710040 2981044 3252584 3726305 4065730 4472303 5962088 7452610 8131460 8944606 14905220 16262920 17889212 22361515 29810440 35778424 44723030 89446060 178892120 27545727323 55091454646 110182909292 137728636615 220365818584 275457273230 303003000553 550914546460 606006001106 1101829092920 1212012002212 1515015002765 2424024004424 3030030005530 6060060011060 12120120022120