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121331200011 = 37467713541
BaseRepresentation
bin111000011111111100…
…1110011000000001011
3102121011210001120121120
41300333321303000023
53441441241400021
6131423324410323
711523462120000
oct1607771630013
9377153046546
10121331200011
114750233241a
121b6216a69a3
13b597c27598
145c300698a7
153251caa2c6
hex1c3fe7300b

121331200011 has 80 divisors (see below), whose sum is σ = 194295644928. Its totient is φ = 67316356800.

The previous prime is 121331199937. The next prime is 121331200033. The reversal of 121331200011 is 110002133121.

It is a happy number.

It is not a de Polignac number, because 121331200011 - 29 = 121331199499 is a prime.

It is a super-3 number, since 3×1213312000113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (121331200061) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34262901 + ... + 34266441.

Almost surely, 2121331200011 is an apocalyptic number.

121331200011 is a deficient number, since it is larger than the sum of its proper divisors (72964444917).

121331200011 is an frugal number, since it uses more digits than its factorization.

121331200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121331200011 its reverse (110002133121), we get a palindrome (231333333132).

The spelling of 121331200011 in words is "one hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, eleven".

Divisors: 1 3 7 21 49 67 71 147 201 213 343 469 497 1029 1407 1491 2401 3283 3479 3541 4757 7203 9849 10437 10623 14271 22981 24353 24787 33299 68943 73059 74361 99897 160867 170471 173509 233093 237247 251411 482601 511413 520527 699279 711741 754233 1214563 1631651 1660729 1759877 3643689 4894953 4982187 5279631 8501941 11421557 11625103 12319139 16844537 25505823 34264671 34875309 36957417 50533611 81375721 86233973 117911759 244127163 258701919 353735277 569630047 603637811 825382313 1708890141 1810913433 2476146939 5777676191 17333028573 40443733337 121331200011