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12411200020 = 2252295415009
BaseRepresentation
bin10111000111100001…
…11110001000010100
31012000221212021201211
423203300332020110
5200404231400040
65411315031204
7616363313422
oct134360761024
935027767654
1012411200020
1152998872aa
1224a459b504
13122a3c7c4b
1485a49a112
154c98e78ea
hex2e3c3e214

12411200020 has 48 divisors (see below), whose sum is σ = 26230957200. Its totient is φ = 4932679680.

The previous prime is 12411199991. The next prime is 12411200029. The reversal of 12411200020 is 2000211421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 188128656 + 12223071364 = 13716^2 + 110558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411200029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475276 + ... + 2480284.

It is an arithmetic number, because the mean of its divisors is an integer number (546478275).

Almost surely, 212411200020 is an apocalyptic number.

12411200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12411200020 is an abundant number, since it is smaller than the sum of its proper divisors (13819757180).

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

12411200020 is a wasteful number, since it uses less digits than its factorization.

12411200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12411200020 its reverse (2000211421), we get a palindrome (14411411441).

The spelling of 12411200020 in words is "twelve billion, four hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 541 916 1082 1145 2164 2290 2705 4580 5009 5410 10018 10820 20036 25045 50090 100180 123889 247778 495556 619445 1147061 1238890 2294122 2477780 2709869 4588244 5419738 5735305 10839476 11470610 13549345 22941220 27098690 54197380 620560001 1241120002 2482240004 3102800005 6205600010 12411200020