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1200120120012 = 2231173137909091
BaseRepresentation
bin10001011101101100101…
…110111100001011001100
311020201201102201211122210
4101131230232330023030
5124130321222320022
62315154431110420
7152464044464112
oct21355456741314
94221642654583
101200120120012
11422a71580030
12174711972410
138922b454438
144212c475ab2
1521340516a0c
hex1176cbbc2cc

1200120120012 has 96 divisors (see below), whose sum is σ = 3119305561344. Its totient is φ = 356072371200.

The previous prime is 1200120120007. The next prime is 1200120120037. The reversal of 1200120120012 is 2100210210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1200120120012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865587 + ... + 1774677.

It is an arithmetic number, because the mean of its divisors is an integer number (32492766264).

Almost surely, 21200120120012 is an apocalyptic number.

1200120120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559652780672).

1200120120012 is an abundant number, since it is smaller than the sum of its proper divisors (1919185441332).

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

1200120120012 is a wasteful number, since it uses less digits than its factorization.

1200120120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909319 (or 909317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

1200120120012 divided by its sum of digits (12) gives a palindrome (100010010001).

Adding to 1200120120012 its reverse (2100210210021), we get a palindrome (3300330330033).

Subtracting 1200120120012 from its reverse (2100210210021), we obtain a palindrome (900090090009).

The spelling of 1200120120012 in words is "one trillion, two hundred billion, one hundred twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 137 146 219 274 292 411 438 548 803 822 876 1507 1606 1644 2409 3014 3212 4521 4818 6028 9042 9636 10001 18084 20002 30003 40004 60006 110011 120012 220022 330033 440044 660066 909091 1320132 1818182 2727273 3636364 5454546 10000001 10909092 20000002 30000003 40000004 60000006 66363643 120000012 124545467 132727286 199090929 249090934 265454572 373636401 398181858 498181868 730000073 747272802 796363716 1370000137 1460000146 1494545604 2190000219 2740000274 2920000292 4110000411 4380000438 5480000548 8220000822 8760000876 9091819091 16440001644 18183638182 27275457273 36367276364 54550914546 100010010001 109101829092 200020020002 300030030003 400040040004 600060060006 1200120120012