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122000201222001 = 343197199106922567
BaseRepresentation
bin11011101111010101100010…
…101010000000011101110001
3120222222002211210021000121020
4123233111202222000131301
5111442322403003101001
61111250041350450053
734461136501066254
oct3357254252003561
9528862753230536
10122000201222001
1135966aa4062073
1211824558663929
13530c7535855cb
14221abac53d09b
15e1878a12e736
hex6ef562a80771

122000201222001 has 64 divisors (see below), whose sum is σ = 168300228096000. Its totient is φ = 78564506017536.

The previous prime is 122000201221993. The next prime is 122000201222021. The reversal of 122000201222001 is 100222102000221.

It is not a de Polignac number, because 122000201222001 - 23 = 122000201221993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122000201222021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5406121620 + ... + 5406144186.

It is an arithmetic number, because the mean of its divisors is an integer number (2629691064000).

Almost surely, 2122000201222001 is an apocalyptic number.

It is an amenable number.

122000201222001 is a deficient number, since it is larger than the sum of its proper divisors (46300026873999).

122000201222001 is a wasteful number, since it uses less digits than its factorization.

122000201222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24078.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122000201222001 its reverse (100222102000221), we get a palindrome (222222303222222).

The spelling of 122000201222001 in words is "one hundred twenty-two trillion, two hundred one million, two hundred twenty-two thousand, one".

Divisors: 1 3 43 129 197 199 591 597 1069 3207 8471 8557 22567 25413 25671 39203 45967 67701 117609 137901 210593 212731 631779 638193 970381 1685729 2911143 4445699 4490833 5057187 9055499 9147433 13337097 13472499 24124123 27166497 27442299 41908007 72372369 125724021 191165057 193105819 573495171 579317457 884694101 1037337289 1802044301 2654082303 3112011867 4752452231 4800700477 5406132903 14257356693 14402101431 38041846343 114125539029 204355445933 206430120511 613066337799 619290361533 945737993969 2837213981907 40666733740667 122000201222001