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122122020201221 = 23312691556940897
BaseRepresentation
bin11011110001000110111111…
…101000100010001100000101
3121000101202021120011100111102
4123301012333220202030011
5112001321344132414341
61111422025342145445
734503011335244135
oct3361067750421405
9530352246140442
10122122020201221
1135a037267641a7
1211844095582285
13531b098576631
142222a4729cac5
15e1ba19b3bc9b
hex6f11bfa22305

122122020201221 has 32 divisors (see below), whose sum is σ = 132043086489600. Its totient is φ = 112613999984640.

The previous prime is 122122020201217. The next prime is 122122020201263. The reversal of 122122020201221 is 122102020221221.

It is a cyclic number.

It is not a de Polignac number, because 122122020201221 - 22 = 122122020201217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122020201193 and 122122020201202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122020201421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2986067045 + ... + 2986107941.

It is an arithmetic number, because the mean of its divisors is an integer number (4126346452800).

Almost surely, 2122122020201221 is an apocalyptic number.

It is an amenable number.

122122020201221 is a deficient number, since it is larger than the sum of its proper divisors (9921066288379).

122122020201221 is a wasteful number, since it uses less digits than its factorization.

122122020201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56789.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122122020201221 its reverse (122102020221221), we get a palindrome (244224040422442).

The spelling of 122122020201221 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 23 31 269 713 6187 8339 15569 40897 191797 358087 482639 940631 1267807 4188061 11001293 11100697 29159561 96325403 129829891 253029739 341040083 636725393 2986087493 7843921909 14644684039 19738487183 171279130717 453985205209 3939420006491 5309653052227 122122020201221