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12012010000 = 24541201201
BaseRepresentation
bin10110010111111100…
…01011101000010000
31011000010201022222021
423023332023220100
5144100033310000
65303535021224
7603445254214
oct131376135020
934003638867
1012012010000
1151045149a1
1223b296a814
1311957ab233
1481d466944
154a484411a
hex2cbf8ba10

12012010000 has 50 divisors (see below), whose sum is σ = 29082301622. Its totient is φ = 4804800000.

The previous prime is 12012009959. The next prime is 12012010013. The reversal of 12012010000 is 1021021.

12012010000 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 5 ways, for example, as 4496507136 + 7515502864 = 67056^2 + 86692^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 590601 + ... + 610600.

Almost surely, 212012010000 is an apocalyptic number.

12012010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012010000 is an abundant number, since it is smaller than the sum of its proper divisors (17070291622).

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

12012010000 is an equidigital number, since it uses as much as digits as its factorization.

12012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201229 (or 1201208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12012010000 its reverse (1021021), we get a palindrome (12013031021).

The spelling of 12012010000 in words is "twelve billion, twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1201201 2402402 4804804 6006005 9609608 12012010 19219216 24024020 30030025 48048040 60060050 96096080 120120100 150150125 240240200 300300250 480480400 600600500 750750625 1201201000 1501501250 2402402000 3003002500 6006005000 12012010000