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120202212121212 = 223131098219860087
BaseRepresentation
bin11011010101001011000010…
…001001111001101001111100
3120202121012220211120010021010
4123111023002021321221330
5111223343112300334322
61103352044532235220
734214215604643144
oct3325130211715174
9522535824503233
10120202212121212
1135333521093861
1211593bb176bb10
13520c034b326c0
142197b64c65924
15dd6b06ddd20c
hex6d52c2279a7c

120202212121212 has 96 divisors (see below), whose sum is σ = 304855095283200. Its totient is φ = 36641480101632.

The previous prime is 120202212121151. The next prime is 120202212121213. The reversal of 120202212121212 is 212121212202021.

120202212121212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202212121213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139325833 + ... + 140185919.

It is an arithmetic number, because the mean of its divisors is an integer number (3175573909200).

Almost surely, 2120202212121212 is an apocalyptic number.

120202212121212 is a gapful number since it is divisible by the number (12) 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 120202212121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152427547641600).

120202212121212 is an abundant number, since it is smaller than the sum of its proper divisors (184652883161988).

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

120202212121212 is a wasteful number, since it uses less digits than its factorization.

120202212121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868435 (or 868433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120202212121212 its reverse (212121212202021), we get a palindrome (332323424323233).

The spelling of 120202212121212 in words is "one hundred twenty trillion, two hundred two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4251 5668 8219 8502 16438 17004 24657 32876 49314 98628 106847 213694 320541 427388 641082 860087 895871 1282164 1720174 1791742 2580261 2687613 3440348 3583484 5160522 5375226 10321044 10750452 11181131 11646323 22362262 23292646 33543393 34938969 44724524 46585292 67086786 69877938 93749483 134173572 139755876 187498966 281248449 374997932 562496898 1124993796 1218743279 2437486558 3656229837 4874973116 7069055053 7312459674 14138110106 14624919348 21207165159 28276220212 42414330318 84828660636 91897715689 183795431378 275693147067 367590862756 551386294134 770527000777 1102772588268 1541054001554 2311581002331 3082108003108 4623162004662 9246324009324 10016851010101 20033702020202 30050553030303 40067404040404 60101106060606 120202212121212