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12212031200 = 2552101359421
BaseRepresentation
bin10110101111110010…
…01100111011100000
31011112002002110110212
423113321030323200
5200002234444300
65335442113252
7611424360335
oct132771147340
934462073425
1012212031200
1151a7411876
12244994b828
1311c8072085
1483bc5298c
154b71a4935
hex2d7e4cee0

12212031200 has 144 divisors (see below), whose sum is σ = 30263375520. Its totient is φ = 4811520000.

The previous prime is 12212031191. The next prime is 12212031239. The reversal of 12212031200 is 213021221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29006990 + ... + 29007410.

It is an arithmetic number, because the mean of its divisors is an integer number (210162330).

Almost surely, 212212031200 is an apocalyptic number.

12212031200 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 12212031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131687760).

12212031200 is an abundant number, since it is smaller than the sum of its proper divisors (18051344320).

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

12212031200 is a wasteful number, since it uses less digits than its factorization.

12212031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12212031200 its reverse (213021221), we get a palindrome (12425052421).

The spelling of 12212031200 in words is "twelve billion, two hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 359 400 404 421 505 718 800 808 842 1010 1436 1616 1684 1795 2020 2105 2525 2872 3232 3368 3590 4040 4210 5050 5744 6736 7180 8080 8420 8975 10100 10525 11488 13472 14360 16160 16840 17950 20200 21050 28720 33680 35900 36259 40400 42100 42521 57440 67360 71800 72518 80800 84200 85042 143600 145036 151139 168400 170084 181295 212605 287200 290072 302278 336800 340168 362590 425210 580144 604556 680336 725180 755695 850420 906475 1063025 1160288 1209112 1360672 1450360 1511390 1700840 1812950 2126050 2418224 2900720 3022780 3401680 3625900 3778475 4252100 4836448 5801440 6045560 6803360 7251800 7556950 8504200 12091120 14503600 15113900 15265039 17008400 24182240 29007200 30227800 30530078 34016800 60455600 61060156 76325195 120911200 122120312 152650390 244240624 305300780 381625975 488481248 610601560 763251950 1221203120 1526503900 2442406240 3053007800 6106015600 12212031200