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120001222021 = 17113149419249
BaseRepresentation
bin110111111000010100…
…0010101010110000101
3102110202002110200210111
41233300220111112011
53431230303101041
6131043334353021
711445512362102
oct1576050252605
9373662420714
10120001222021
114698a61a25a
121b3101bb771
13b415524665
145b45583aa9
1531c5147981
hex1bf0a15585

120001222021 has 16 divisors (see below), whose sum is σ = 129045150000. Its totient is φ = 111191277568.

The previous prime is 120001222001. The next prime is 120001222031. The reversal of 120001222021 is 120222100021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19680161796 + 100321060225 = 140286^2 + 316735^2 .

It is a cyclic number.

It is not a de Polignac number, because 120001222021 - 217 = 120001090949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120001221992 and 120001222010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001222001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76605 + ... + 495853.

It is an arithmetic number, because the mean of its divisors is an integer number (8065321875).

Almost surely, 2120001222021 is an apocalyptic number.

It is an amenable number.

120001222021 is a deficient number, since it is larger than the sum of its proper divisors (9043927979).

120001222021 is a wasteful number, since it uses less digits than its factorization.

120001222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419528.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120001222021 its reverse (120222100021), we get a palindrome (240223322042).

The spelling of 120001222021 in words is "one hundred twenty billion, one million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 17 113 149 1921 2533 16837 286229 419249 7127233 47375137 62468101 805377329 1061957717 7058895413 120001222021