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120221120201 = 72131929461743
BaseRepresentation
bin110111111110110111…
…1001011011011001001
3102111022102020200101112
41233331233023123021
53432203101321301
6131121231500105
711454122442500
oct1577557133311
9374272220345
10120221120201
1146a92762a96
121b371987635
13b44bc57920
145b66865837
1531d95d29bb
hex1bfdbcb6c9

120221120201 has 96 divisors (see below), whose sum is σ = 164576966400. Its totient is φ = 86700741120.

The previous prime is 120221120191. The next prime is 120221120207. The reversal of 120221120201 is 102021122021.

It is not a de Polignac number, because 120221120201 - 26 = 120221120137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120221120207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161804636 + ... + 161805378.

It is an arithmetic number, because the mean of its divisors is an integer number (1714343400).

Almost surely, 2120221120201 is an apocalyptic number.

It is an amenable number.

120221120201 is a deficient number, since it is larger than the sum of its proper divisors (44355846199).

120221120201 is a wasteful number, since it uses less digits than its factorization.

120221120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120221120201 its reverse (102021122021), we get a palindrome (222242242222).

The spelling of 120221120201 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred one".

Divisors: 1 7 13 19 29 49 91 133 203 247 377 461 551 637 743 931 1421 1729 2639 3227 3857 5201 5993 7163 8759 9659 12103 13369 14117 18473 21547 22589 26999 36407 41951 50141 61313 67613 93583 98819 113867 150829 173797 183521 254011 280111 293657 342523 350987 409393 429191 473291 655081 691733 797069 1055803 1216579 1284647 1778077 1960777 2397661 2865751 3302143 4452799 5322109 5579483 6507937 8516053 8992529 9933167 12446539 13725439 16783627 20060257 23115001 31169593 37254763 45555559 69532169 84603181 129131171 161805007 188730173 218187151 260783341 318888913 486725183 592222267 903918197 1321111211 2453492249 4145555869 6327427379 9247778477 17174445743 120221120201