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12000201020020 = 225600010051001
BaseRepresentation
bin1010111010100000001110…
…1110000001001001110100
31120111012121122022222102101
42232220003232001021310
53033102402430120040
641304452150351444
72345662111445503
oct256500356011164
946435548288371
1012000201020020
1139072906a4154
12141987705b584
136907ca243245
142d6b5458883a
1515c2458cc09a
hexaea03b81274

12000201020020 has 12 divisors (see below), whose sum is σ = 25200422142084. Its totient is φ = 4800080408000.

The previous prime is 12000201019987. The next prime is 12000201020053. The reversal of 12000201020020 is 2002010200021.

It is an interprime number because it is at equal distance from previous prime (12000201019987) and next prime (12000201020053).

It can be written as a sum of positive squares in 2 ways, for example, as 3968486315236 + 8031714704784 = 1992106^2 + 2834028^2 .

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 = 12000201019979 and 12000201020006.

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 3 ways as a sum of consecutive naturals, for example, 300005025481 + ... + 300005025520.

It is an arithmetic number, because the mean of its divisors is an integer number (2100035178507).

Almost surely, 212000201020020 is an apocalyptic number.

12000201020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201020020 is an abundant number, since it is smaller than the sum of its proper divisors (13200221122064).

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

12000201020020 is a wasteful number, since it uses less digits than its factorization.

12000201020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600010051010 (or 600010051008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000201020020 its reverse (2002010200021), we get a palindrome (14002211220041).

The spelling of 12000201020020 in words is "twelve trillion, two hundred one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 600010051001 1200020102002 2400040204004 3000050255005 6000100510010 12000201020020