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121100212212021 = 32737376913784039
BaseRepresentation
bin11011100010001111010111…
…001000011001000100110101
3120212210001211000011021211200
4123202033113020121010311
5111333101213311241041
61105320400334523113
734336126102530510
oct3342172710310465
9525701730137750
10121100212212021
113564a347799239
12116ba048066499
135275916176893
1421c93d27b7d77
15e00163a741b6
hex6e23d7219135

121100212212021 has 48 divisors (see below), whose sum is σ = 205368963321600. Its totient is φ = 67311978718464.

The previous prime is 121100212212011. The next prime is 121100212212041. The reversal of 121100212212021 is 120212212001121.

121100212212021 is a `hidden beast` number, since 121 + 100 + 21 + 221 + 202 + 1 = 666.

It is not a de Polignac number, because 121100212212021 - 213 = 121100212203829 is a prime.

It is a super-2 number, since 2×1211002122120212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100212211985 and 121100212212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100212212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893520 + ... + 15677558.

It is an arithmetic number, because the mean of its divisors is an integer number (4278520069200).

Almost surely, 2121100212212021 is an apocalyptic number.

It is an amenable number.

121100212212021 is a deficient number, since it is larger than the sum of its proper divisors (84268751109579).

121100212212021 is a wasteful number, since it uses less digits than its factorization.

121100212212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787858 (or 13787855 counting only the distinct ones).

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

Adding to 121100212212021 its reverse (120212212001121), we get a palindrome (241312424213142).

The spelling of 121100212212021 in words is "one hundred twenty-one trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 3769 11307 26383 33921 79149 139453 237447 418359 976171 1255077 2928513 8785539 13784039 41352117 96488273 124056351 289464819 510009443 868394457 1530028329 3570066101 4590084987 10710198303 32130594909 51952042991 155856128973 363664300937 467568386919 1090992902811 1922225590667 3272978708433 5766676772001 13455579134669 17300030316003 40366737404007 121100212212021