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12000212010020 = 2251346154661577
BaseRepresentation
bin1010111010100000010001…
…0111111100010000100100
31120111012122102000022212102
42232220010113330100210
53033102413233310040
641304453222111232
72345662304040353
oct256500427742044
946435572008772
1012000212010020
1139072969200a3
12141987a87b518
136907cc5c05c0
142d6b55c0999a
1515c24684d515
hexaea045fc424

12000212010020 has 24 divisors (see below), whose sum is σ = 27138941007864. Its totient is φ = 4430847511296.

The previous prime is 12000212009969. The next prime is 12000212010097. The reversal of 12000212010020 is 2001021200021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1055402819584 + 10944809190436 = 1027328^2 + 3308294^2 .

It is a super-5 number, since 5×120002120100205 (a number of 67 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000212009983 and 12000212010010.

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 7 ways as a sum of consecutive naturals, for example, 23077330529 + ... + 23077331048.

It is an arithmetic number, because the mean of its divisors is an integer number (1130789208661).

Almost surely, 212000212010020 is an apocalyptic number.

12000212010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000212010020 is an abundant number, since it is smaller than the sum of its proper divisors (15138728997844).

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

12000212010020 is a wasteful number, since it uses less digits than its factorization.

12000212010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46154661599 (or 46154661597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000212010020 its reverse (2001021200021), we get a palindrome (14001233210041).

The spelling of 12000212010020 in words is "twelve trillion, two hundred twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 46154661577 92309323154 184618646308 230773307885 461546615770 600010600501 923093231540 1200021201002 2400042402004 3000053002505 6000106005010 12000212010020