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12032013200 = 245230080033
BaseRepresentation
bin10110011010010100…
…11111001110010000
31011001112100121012112
423031022133032100
5144120143410300
65305531444452
7604110265454
oct131512371620
934045317175
1012032013200
115114837669
1223b95b6728
131199992c4c
14821d92664
154a6495e35
hex2cd29f390

12032013200 has 30 divisors (see below), whose sum is σ = 28906912674. Its totient is φ = 4812805120.

The previous prime is 12032013197. The next prime is 12032013221. The reversal of 12032013200 is 231023021.

It is a happy number.

12032013200 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 2528882944 + 9503130256 = 50288^2 + 97484^2 .

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, 15039617 + ... + 15040416.

Almost surely, 212032013200 is an apocalyptic number.

12032013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032013200 is an abundant number, since it is smaller than the sum of its proper divisors (16874899474).

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

12032013200 is a wasteful number, since it uses less digits than its factorization.

12032013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30080051 (or 30080040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12032013200 its reverse (231023021), we get a palindrome (12263036221).

The spelling of 12032013200 in words is "twelve billion, thirty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30080033 60160066 120320132 150400165 240640264 300800330 481280528 601600660 752000825 1203201320 1504001650 2406402640 3008003300 6016006600 12032013200