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1221021222201 = 321123736782571
BaseRepresentation
bin10001110001001010100…
…010010100010100111001
311022201200001211211201200
4101301022202110110321
5130001122413102301
62332532430204413
7154134021100104
oct21611242242471
94281601754650
101221021222201
11430917714500
12178785653709
138b1ac720321
14431522c373b
1521b6542ac86
hex11c4a894539

1221021222201 has 72 divisors (see below), whose sum is σ = 1996453560192. Its totient is φ = 718041931200.

The previous prime is 1221021222181. The next prime is 1221021222203. The reversal of 1221021222201 is 1022221201221.

It is a happy number.

1221021222201 is a `hidden beast` number, since 1 + 221 + 0 + 21 + 222 + 201 = 666.

It is not a de Polignac number, because 1221021222201 - 218 = 1221020960057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221021222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14746246 + ... + 14828816.

Almost surely, 21221021222201 is an apocalyptic number.

1221021222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221021222201 is a deficient number, since it is larger than the sum of its proper divisors (775432337991).

1221021222201 is a wasteful number, since it uses less digits than its factorization.

1221021222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83003 (or 82989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221021222201 its reverse (1022221201221), we get a palindrome (2243242423422).

The spelling of 1221021222201 in words is "one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 367 407 1089 1101 1221 3303 3663 4037 4477 12111 13431 13579 36333 40293 40737 44407 82571 122211 133221 149369 247713 399663 448107 743139 908281 1344321 1643059 2724843 3055127 4929177 8174529 9165381 9991091 14787531 27496143 29973273 30303557 33606397 89919819 90910671 100819191 272732013 302457573 333339127 369670367 1000017381 1109011101 1121231609 3000052143 3327033303 3363694827 3666730397 10091084481 11000191191 12333547699 33000573573 37000643097 111001929291 135669024689 407007074067 1221021222201