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12120021200 = 245274328579
BaseRepresentation
bin10110100100110100…
…01101100011010000
31011021122221212111002
423102122031203100
5144310211134300
65322354041132
7606226323530
oct132232154320
934248855432
1012120021200
11515a488351
122422b791a8
1311b1c982a1
1482d9414c0
154ae07c5d5
hex2d268d8d0

12120021200 has 60 divisors (see below), whose sum is σ = 33278123040. Its totient is φ = 4155434880.

The previous prime is 12120021197. The next prime is 12120021209. The reversal of 12120021200 is 212002121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120021209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2161490 + ... + 2167089.

It is an arithmetic number, because the mean of its divisors is an integer number (554635384).

Almost surely, 212120021200 is an apocalyptic number.

12120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120021200 is an abundant number, since it is smaller than the sum of its proper divisors (21158101840).

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

12120021200 is a wasteful number, since it uses less digits than its factorization.

12120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328604 (or 4328593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120021200 its reverse (212002121), we get a palindrome (12332023321).

The spelling of 12120021200 in words is "twelve billion, one hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4328579 8657158 17314316 21642895 30300053 34628632 43285790 60600106 69257264 86571580 108214475 121200212 151500265 173143160 216428950 242400424 303000530 346286320 432857900 484800848 606001060 757501325 865715800 1212002120 1515002650 1731431600 2424004240 3030005300 6060010600 12120021200