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12000111010120 = 235369301812353
BaseRepresentation
bin1010111010011111111001…
…0110101010000101001000
31120111012101100222000001101
42232213332112222011020
53033102211404310440
641304435213231144
72345656636412122
oct256477626520510
946435340860041
1012000111010120
113907244906402
121419850a924b4
136907b46b994c
142d6b46638212
1515c23ca4c69a
hexae9fe5aa148

12000111010120 has 32 divisors (see below), whose sum is σ = 27000356121720. Its totient is φ = 4800025497600.

The previous prime is 12000111010067. The next prime is 12000111010207. The reversal of 12000111010120 is 2101011100021.

It can be written as a sum of positive squares in 4 ways, for example, as 11932174672804 + 67936337316 = 3454298^2 + 260646^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000111010097 and 12000111010106.

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 7 ways as a sum of consecutive naturals, for example, 14365864 + ... + 15178216.

Almost surely, 212000111010120 is an apocalyptic number.

12000111010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000111010120 is an abundant number, since it is smaller than the sum of its proper divisors (15000245111600).

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

12000111010120 is a wasteful number, since it uses less digits than its factorization.

12000111010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181665 (or 1181661 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12000111010120 its reverse (2101011100021), we get a palindrome (14101122110141).

The spelling of 12000111010120 in words is "twelve trillion, one hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 369301 738602 812353 1477204 1624706 1846505 2954408 3249412 3693010 4061765 6498824 7386020 8123530 14772040 16247060 32494120 300002775253 600005550506 1200011101012 1500013876265 2400022202024 3000027752530 6000055505060 12000111010120