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12000212000 = 25537428579
BaseRepresentation
bin10110010110100010…
…01011010000100000
31010222022111221011022
423023101023100200
5144034023241000
65302434105012
7603243055550
oct131321132040
933868457138
1012000212000
1150a8896987
1223aaa1b168
13119320a17a
1481ba75160
154a37b3585
hex2cb44b420

12000212000 has 96 divisors (see below), whose sum is σ = 33696673920. Its totient is φ = 4114348800.

The previous prime is 12000211999. The next prime is 12000212017. The reversal of 12000212000 is 21200021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186290 + ... + 242289.

It is an arithmetic number, because the mean of its divisors is an integer number (351007020).

Almost surely, 212000212000 is an apocalyptic number.

12000212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000212000 is an abundant number, since it is smaller than the sum of its proper divisors (21696461920).

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

12000212000 is an equidigital number, since it uses as much as digits as its factorization.

12000212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428611 (or 428593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12000212000 its reverse (21200021), we get a palindrome (12021412021).

It can be divided in two parts, 1200021 and 2000, that added together give a palindrome (1202021).

The spelling of 12000212000 in words is "twelve billion, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 428579 857158 1714316 2142895 3000053 3428632 4285790 6000106 6857264 8571580 10714475 12000212 13714528 15000265 17143160 21428950 24000424 30000530 34286320 42857900 48000848 53572375 60001060 68572640 75001325 85715800 96001696 107144750 120002120 150002650 171431600 214289500 240004240 300005300 342863200 375006625 428579000 480008480 600010600 750013250 857158000 1200021200 1500026500 1714316000 2400042400 3000053000 6000106000 12000212000