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212121112201120 = 2551325756951257
BaseRepresentation
bin110000001110110001001011…
…100010101100011110100000
31000211001120200000200102222101
4300032301023202230132200
5210300343014210413440
62031051032122220144
762452146622133353
oct6016611342543640
91024046600612871
10212121112201120
1161652070940451
121b95a5ab354654
139148c203c91a5
143a54a0654229a
15197cb5490b69a
hexc0ec4b8ac7a0

212121112201120 has 24 divisors (see below), whose sum is σ = 501136127575524. Its totient is φ = 84848444880384.

The previous prime is 212121112201087. The next prime is 212121112201121. The reversal of 212121112201120 is 21102211121212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 192667613986576 + 19453498214544 = 13880476^2 + 4410612^2 .

It is not an unprimeable number, because it can be changed into a prime (212121112201121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 662878475469 + ... + 662878475788.

Almost surely, 2212121112201120 is an apocalyptic number.

212121112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121112201120 is an abundant number, since it is smaller than the sum of its proper divisors (289015015374404).

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

212121112201120 is a wasteful number, since it uses less digits than its factorization.

212121112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325756951272 (or 1325756951264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212121112201120 its reverse (21102211121212), we get a palindrome (233223323322332).

The spelling of 212121112201120 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1325756951257 2651513902514 5303027805028 6628784756285 10606055610056 13257569512570 21212111220112 26515139025140 42424222440224 53030278050280 106060556100560 212121112201120