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12002203111120 = 245541277315229
BaseRepresentation
bin1010111010100111101100…
…0011011000111011010000
31120111101210011121202002121
42232221323003120323100
53033121002444023440
641305422550224024
72346062532110005
oct256517303307320
946441704552077
1012002203111120
1139081188398a2
12141a135655014
13690a58c70331
142d6ca44298ac
1515c31155434a
hexaea7b0d8ed0

12002203111120 has 40 divisors (see below), whose sum is σ = 27956702966760. Its totient is φ = 4792007139840.

The previous prime is 12002203111117. The next prime is 12002203111169. The reversal of 12002203111120 is 2111130220021.

It can be written as a sum of positive squares in 4 ways, for example, as 3325196014144 + 8677007096976 = 1823512^2 + 2945676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12002203111094 and 12002203111103.

It is a congruent number.

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, 138614335 + ... + 138700894.

It is an arithmetic number, because the mean of its divisors is an integer number (698917574169).

Almost surely, 212002203111120 is an apocalyptic number.

12002203111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002203111120 is an abundant number, since it is smaller than the sum of its proper divisors (15954499855640).

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

12002203111120 is a wasteful number, since it uses less digits than its factorization.

12002203111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277315783 (or 277315777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12002203111120 its reverse (2111130220021), we get a palindrome (14113333331141).

The spelling of 12002203111120 in words is "twelve trillion, two billion, two hundred three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 541 1082 2164 2705 4328 5410 8656 10820 21640 43280 277315229 554630458 1109260916 1386576145 2218521832 2773152290 4437043664 5546304580 11092609160 22185218320 150027538889 300055077778 600110155556 750137694445 1200220311112 1500275388890 2400440622224 3000550777780 6001101555560 12002203111120