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20121303323200 = 265212575814577
BaseRepresentation
bin1001001001100110110110…
…01000110001001001000000
32122020120121020001210110211
410210303123020301021000
510114131412122320300
6110443333225203504
74144500440165242
oct444633310611100
978216536053424
1020121303323200
11645844018a172
12230b787930594
13b2c57a4ca861
144d7c3a70c092
1524d6044864ba
hex124cdb231240

20121303323200 has 42 divisors (see below), whose sum is σ = 49510981993586. Its totient is φ = 8048521328640.

The previous prime is 20121303323129. The next prime is 20121303323207. The reversal of 20121303323200 is 232330312102.

It can be written as a sum of positive squares in 3 ways, for example, as 164569771584 + 19956733551616 = 405672^2 + 4467296^2 .

It is not an unprimeable number, because it can be changed into a prime (20121303323207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6287905689 + ... + 6287908888.

Almost surely, 220121303323200 is an apocalyptic number.

20121303323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121303323200 is an abundant number, since it is smaller than the sum of its proper divisors (29389678670386).

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

20121303323200 is a wasteful number, since it uses less digits than its factorization.

20121303323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575814599 (or 12575814584 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20121303323200 its reverse (232330312102), we get a palindrome (20353633635302).

The spelling of 20121303323200 in words is "twenty trillion, one hundred twenty-one billion, three hundred three million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 12575814577 25151629154 50303258308 62879072885 100606516616 125758145770 201213033232 251516291540 314395364425 402426066464 503032583080 628790728850 804852132928 1006065166160 1257581457700 2012130332320 2515162915400 4024260664640 5030325830800 10060651661600 20121303323200