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12002011200020 = 2251419742269533
BaseRepresentation
bin1010111010100110111110…
…0111010011101000010100
31120111101021210111122120002
42232221233213103220110
53033120104331400040
641305351533030432
72346055011642302
oct256515747235024
946441253448502
1012002011200020
11390802a481186
12141a0a1325418
13690a28288a7a
142d6c86b51272
1515c2ee796a15
hexaea6f9d3a14

12002011200020 has 24 divisors (see below), whose sum is σ = 25205999436744. Its totient is φ = 4800466210176.

The previous prime is 12002011200007. The next prime is 12002011200079. The reversal of 12002011200020 is 2000211020021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2681458650256 + 9320552549764 = 1637516^2 + 3052958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12002011199974 and 12002011200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20850827 + ... + 21418706.

It is an arithmetic number, because the mean of its divisors is an integer number (1050249976531).

Almost surely, 212002011200020 is an apocalyptic number.

12002011200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002011200020 is an abundant number, since it is smaller than the sum of its proper divisors (13203988236724).

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

12002011200020 is a wasteful number, since it uses less digits than its factorization.

12002011200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42283739 (or 42283737 counting only the distinct ones).

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

Adding to 12002011200020 its reverse (2000211020021), we get a palindrome (14002222220041).

The spelling of 12002011200020 in words is "twelve trillion, two billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 14197 28394 56788 70985 141970 283940 42269533 84539066 169078132 211347665 422695330 845390660 600100560001 1200201120002 2400402240004 3000502800005 6001005600010 12002011200020