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12020201000 = 235322975233
BaseRepresentation
bin10110011000111010…
…11011011000101000
31011000201010110220122
423030131123120220
5144104132413000
65304430342412
7603605010533
oct131435333050
934021113818
1012020201000
1151090a9a15
1223b565aa08
1311973b8592
14820599a1a
154a5411085
hex2cc75b628

12020201000 has 64 divisors (see below), whose sum is σ = 28144892880. Its totient is φ = 4805068800.

The previous prime is 12020200993. The next prime is 12020201003. The reversal of 12020201000 is 10202021.

12020201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2375782564 + 9644418436 = 48742^2 + 98206^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12020201003) 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 15 ways as a sum of consecutive naturals, for example, 2294384 + ... + 2299616.

Almost surely, 212020201000 is an apocalyptic number.

12020201000 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 12020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072446440).

12020201000 is an abundant number, since it is smaller than the sum of its proper divisors (16124691880).

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

12020201000 is a wasteful number, since it uses less digits than its factorization.

12020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7537 counting only the distinct ones).

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

Adding to 12020201000 its reverse (10202021), we get a palindrome (12030403021).

The spelling of 12020201000 in words is "twelve billion, twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2297 4594 5233 9188 10466 11485 18376 20932 22970 26165 41864 45940 52330 57425 91880 104660 114850 130825 209320 229700 261650 287125 459400 523300 574250 654125 1046600 1148500 1308250 2297000 2616500 5233000 12020201 24040402 48080804 60101005 96161608 120202010 240404020 300505025 480808040 601010050 1202020100 1502525125 2404040200 3005050250 6010100500 12020201000