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121220212011021 = 324710124164118367
BaseRepresentation
bin11011100011111111000111…
…101011010011000000001101
3120220012112112222221200121200
4123203333013223103000031
5111342032443233323041
61105451444023020113
734350604600145064
oct3343770753230015
9526175488850550
10121220212011021
1135696226526342
121171935789a639
13528402b2c05c6
1421d1137aab1db
15e033389da1b6
hex6e3fc7ad300d

121220212011021 has 96 divisors (see below), whose sum is σ = 181633949392896. Its totient is φ = 77860085760000.

The previous prime is 121220212011013. The next prime is 121220212011149. The reversal of 121220212011021 is 120110212022121.

121220212011021 is a `hidden beast` number, since 1 + 212 + 202 + 120 + 110 + 21 = 666.

It is not a de Polignac number, because 121220212011021 - 23 = 121220212011013 is a prime.

It is a super-3 number, since 3×1212202120110213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121220212010985 and 121220212011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220212011221) 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, 6599882580 + ... + 6599900946.

It is an arithmetic number, because the mean of its divisors is an integer number (1892020306176).

Almost surely, 2121220212011021 is an apocalyptic number.

It is an amenable number.

121220212011021 is a deficient number, since it is larger than the sum of its proper divisors (60413737381875).

121220212011021 is a wasteful number, since it uses less digits than its factorization.

121220212011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19403 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121220212011021 its reverse (120110212022121), we get a palindrome (241330424033142).

The spelling of 121220212011021 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred twelve million, eleven thousand, twenty-one".

Divisors: 1 3 9 47 101 141 241 303 423 641 723 909 1923 2169 4747 5769 11327 14241 18367 24341 30127 33981 42723 55101 64741 73023 90381 101943 154481 165303 194223 219069 271143 463443 582669 863249 1144027 1390329 1855067 2589747 3042827 3432081 4426447 5565201 7260607 7769241 9128481 10296243 11773247 13279341 15602581 16695603 21781821 27385443 35319741 39838023 46807743 65345463 87188149 105959223 140423229 208043009 261564447 447071147 553342609 624129027 733321307 784693341 1189097947 1341213441 1660027827 1872387081 2199963921 2837352527 3567293841 4023640323 4980083481 6599891763 8512057581 10701881523 21012343909 25536172743 55887603509 63037031727 133355568769 167662810527 189111095181 286572605227 400066706307 502988431581 859717815681 1200200118921 2579153447043 13468912445669 40406737337007 121220212011021