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12001200020000 = 2554600060001
BaseRepresentation
bin1010111010100011111101…
…0000111001101000100000
31120111022012021010102202122
42232220333100321220200
53033111424201120000
641305135234403412
72346025632013052
oct256507720715040
946438167112678
1012001200020000
1139077535a4674
121419ab5730568
136909291c01a9
142d6c0b1158d2
1515c2a3462085
hexaea3f439a20

12001200020000 has 60 divisors (see below), whose sum is σ = 29524752278406. Its totient is φ = 4800480000000.

The previous prime is 12001200019999. The next prime is 12001200020009. The reversal of 12001200020000 is 2000210021.

It can be written as a sum of positive squares in 5 ways, for example, as 520135209616 + 11481064810384 = 721204^2 + 3388372^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12001200020000.

It is not an unprimeable number, because it can be changed into a prime (12001200020009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 300010001 + ... + 300050000.

Almost surely, 212001200020000 is an apocalyptic number.

12001200020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001200020000 is an abundant number, since it is smaller than the sum of its proper divisors (17523552258406).

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

12001200020000 is an frugal number, since it uses more digits than its factorization.

12001200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600060031 (or 600060008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12001200020000 its reverse (2000210021), we get a palindrome (12003200230021).

The spelling of 12001200020000 in words is "twelve trillion, one billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 600060001 1200120002 2400240004 3000300005 4800480008 6000600010 9600960016 12001200020 15001500025 19201920032 24002400040 30003000050 48004800080 60006000100 75007500125 96009600160 120012000200 150015000250 240024000400 300030000500 375037500625 480048000800 600060001000 750075001250 1200120002000 1500150002500 2400240004000 3000300005000 6000600010000 12001200020000