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2222002121200 = 245229227843841
BaseRepresentation
bin100000010101011001101…
…001011010100111110000
321212102101011000002200021
4200111121221122213300
5242401130020334300
64420435040533224
7316351166254021
oct40253151324760
97772334002607
102222002121200
117873892a7324
122ba780021214
131316c2c98b74
147978cb04c48
153cbecd4dd1a
hex20559a5a9f0

2222002121200 has 120 divisors (see below), whose sum is σ = 5546775988080. Its totient is φ = 854371123200.

The previous prime is 2222002121177. The next prime is 2222002121201. The reversal of 2222002121200 is 21212002222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222002121201) by changing a digit.

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, 2211280 + ... + 3055120.

It is an arithmetic number, because the mean of its divisors is an integer number (46223133234).

Almost surely, 22222002121200 is an apocalyptic number.

2222002121200 is a gapful number since it is divisible by the number (20) 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 2222002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773387994040).

2222002121200 is an abundant number, since it is smaller than the sum of its proper divisors (3324773866880).

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

2222002121200 is a wasteful number, since it uses less digits than its factorization.

2222002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844115 (or 844104 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222002121200 its reverse (21212002222), we get a palindrome (2243214123422).

The spelling of 2222002121200 in words is "two trillion, two hundred twenty-two billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 227 232 290 400 454 464 580 725 908 1135 1160 1450 1816 2270 2320 2900 3632 4540 5675 5800 6583 9080 11350 11600 13166 18160 22700 26332 32915 45400 52664 65830 90800 105328 131660 164575 263320 329150 526640 658300 843841 1316600 1687682 2633200 3375364 4219205 6750728 8438410 13501456 16876820 21096025 24471389 33753640 42192050 48942778 67507280 84384100 97885556 122356945 168768200 191551907 195771112 244713890 337536400 383103814 391542224 489427780 611784725 766207628 957759535 978855560 1223569450 1532415256 1915519070 1957711120 2447138900 3064830512 3831038140 4788797675 4894277800 5555005303 7662076280 9577595350 9788555600 11110010606 15324152560 19155190700 22220021212 27775026515 38310381400 44440042424 55550053030 76620762800 88880084848 111100106060 138875132575 222200212120 277750265150 444400424240 555500530300 1111001060600 2222002121200