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121220133102201 = 37193713499608273
BaseRepresentation
bin11011100011111111000010…
…111110010010001001111001
3120220012112100111110201001210
4123203333002332102021321
5111342032313033232301
61105451432123433333
734350602621345160
oct3343770276221171
9526175314421053
10121220133102201
1135696195a2aa41
1211719335385849
135284017b52ab3
1421d112b40a3d7
15e03331aeead6
hex6e3fc2f92279

121220133102201 has 64 divisors (see below), whose sum is σ = 199708519680000. Its totient is φ = 63844501625856.

The previous prime is 121220133102169. The next prime is 121220133102223. The reversal of 121220133102201 is 102201331022121.

It is not a de Polignac number, because 121220133102201 - 25 = 121220133102169 is a prime.

It is a super-2 number, since 2×1212201331022012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121220133102001) 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, 198981601 + ... + 199589873.

It is an arithmetic number, because the mean of its divisors is an integer number (3120445620000).

Almost surely, 2121220133102201 is an apocalyptic number.

It is an amenable number.

121220133102201 is a deficient number, since it is larger than the sum of its proper divisors (78488386577799).

121220133102201 is a wasteful number, since it uses less digits than its factorization.

121220133102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621838.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121220133102201 its reverse (102201331022121), we get a palindrome (223421464124322).

The spelling of 121220133102201 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred thirty-three million, one hundred two thousand, two hundred one".

Divisors: 1 3 7 19 21 37 57 111 133 259 399 703 777 2109 4921 13499 14763 40497 94493 256481 283479 499463 608273 769443 1498389 1795367 1824819 3496241 4257911 5386101 9489797 10488723 11557187 12773733 22506101 28469391 34671561 66428579 67518303 80900309 157542707 199285737 242700927 427615919 472628121 1282847757 2993311433 8211077227 8979934299 24633231681 57477540589 156010467313 172432621767 303809857399 468031401939 911429572197 1092073271191 2126669001793 3276219813573 5772387290581 6380007005379 17317161871743 40406711034067 121220133102201