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12032201000 = 235317967219
BaseRepresentation
bin10110011010010110…
…01101000100101000
31011001112201010211002
423031023031010220
5144120220413000
65305535454132
7604112010131
oct131513150450
934045633732
1012032201000
115114955776
1223b9687348
131199a2a581
14822000c88
154a64d18d5
hex2cd2cd128

12032201000 has 64 divisors (see below), whose sum is σ = 28313064000. Its totient is φ = 4785921600.

The previous prime is 12032200937. The next prime is 12032201009. The reversal of 12032201000 is 10223021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12032201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145391 + ... + 212609.

It is an arithmetic number, because the mean of its divisors is an integer number (442391625).

Almost surely, 212032201000 is an apocalyptic number.

12032201000 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 12032201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156532000).

12032201000 is an abundant number, since it is smaller than the sum of its proper divisors (16280863000).

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

12032201000 is a wasteful number, since it uses less digits than its factorization.

12032201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67419 (or 67405 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12032201000 its reverse (10223021), we get a palindrome (12042424021).

The spelling of 12032201000 in words is "twelve billion, thirty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 3580 4475 7160 8950 17900 22375 35800 44750 67219 89500 134438 179000 268876 336095 537752 672190 1344380 1680475 2688760 3360950 6721900 8402375 12032201 13443800 16804750 24064402 33609500 48128804 60161005 67219000 96257608 120322010 240644020 300805025 481288040 601610050 1203220100 1504025125 2406440200 3008050250 6016100500 12032201000