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12032221000 = 235312032221
BaseRepresentation
bin10110011010010110…
…10001111101001000
31011001112202011020211
423031023101331020
5144120222033000
65305540130504
7604112122342
oct131513217510
934045664224
1012032221000
1151149697a8
1223b9696a34
131199a366c7
14822008292
154a64d77ba
hex2cd2d1f48

12032221000 has 32 divisors (see below), whose sum is σ = 28155399480. Its totient is φ = 4812888000.

The previous prime is 12032220997. The next prime is 12032221007. The reversal of 12032221000 is 12223021.

12032221000 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 4 ways, for example, as 4271668164 + 7760552836 = 65358^2 + 88094^2 .

It is not an unprimeable number, because it can be changed into a prime (12032221007) 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 7 ways as a sum of consecutive naturals, for example, 6015111 + ... + 6017110.

Almost surely, 212032221000 is an apocalyptic number.

12032221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032221000 is an abundant number, since it is smaller than the sum of its proper divisors (16123178480).

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

12032221000 is a wasteful number, since it uses less digits than its factorization.

12032221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032242 (or 12032228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12032221000 its reverse (12223021), we get a palindrome (12044444021).

The spelling of 12032221000 in words is "twelve billion, thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12032221 24064442 48128884 60161105 96257768 120322210 240644420 300805525 481288840 601611050 1203222100 1504027625 2406444200 3008055250 6016110500 12032221000