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12020301200 = 2452257116929
BaseRepresentation
bin10110011000111011…
…10011110110010000
31011000201022120100202
423030131303312100
5144104144114300
65304432434332
7603605605625
oct131435636620
934021276322
1012020301200
115109168226
1223b56a89a8
13119742207b
148205c434c
154a5430ad5
hex2cc773d90

12020301200 has 60 divisors (see below), whose sum is σ = 28991390340. Its totient is φ = 4789370880.

The previous prime is 12020301199. The next prime is 12020301203. The reversal of 12020301200 is 210302021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 945685504 + 11074615696 = 30752^2 + 105236^2 .

It is not an unprimeable number, because it can be changed into a prime (12020301203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44336 + ... + 161264.

It is an arithmetic number, because the mean of its divisors is an integer number (483189839).

Almost surely, 212020301200 is an apocalyptic number.

12020301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495695170).

12020301200 is an abundant number, since it is smaller than the sum of its proper divisors (16971089140).

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

12020301200 is a wasteful number, since it uses less digits than its factorization.

12020301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117204 (or 117193 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12020301200 its reverse (210302021), we get a palindrome (12230603221).

The spelling of 12020301200 in words is "twelve billion, twenty million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1285 2056 2570 4112 5140 6425 10280 12850 20560 25700 51400 102800 116929 233858 467716 584645 935432 1169290 1870864 2338580 2923225 4677160 5846450 9354320 11692900 23385800 30050753 46771600 60101506 120203012 150253765 240406024 300507530 480812048 601015060 751268825 1202030120 1502537650 2404060240 3005075300 6010150600 12020301200