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12012040400 = 245230030101
BaseRepresentation
bin10110010111111100…
…10011000011010000
31011000010202212200012
423023332103003100
5144100040243100
65303535414052
7603445441643
oct131376230320
934003685605
1012012040400
115104535818
1223b2984328
1311957bc019
1481d473a5a
154a484d135
hex2cbf930d0

12012040400 has 30 divisors (see below), whose sum is σ = 28858928022. Its totient is φ = 4804816000.

The previous prime is 12012040351. The next prime is 12012040441. The reversal of 12012040400 is 404021021.

12012040400 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 3 ways, for example, as 302203456 + 11709836944 = 17384^2 + 108212^2 .

It is a super-2 number, since 2×120120404002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 15014651 + ... + 15015450.

Almost surely, 212012040400 is an apocalyptic number.

12012040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012040400 is an abundant number, since it is smaller than the sum of its proper divisors (16846887622).

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

12012040400 is a wasteful number, since it uses less digits than its factorization.

12012040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30030119 (or 30030108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12012040400 its reverse (404021021), we get a palindrome (12416061421).

The spelling of 12012040400 in words is "twelve billion, twelve million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30030101 60060202 120120404 150150505 240240808 300301010 480481616 600602020 750752525 1201204040 1501505050 2402408080 3003010100 6006020200 12012040400