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121341114312 = 233113712422309
BaseRepresentation
bin111000100000001111…
…1100111011111001000
3102121012110201021110220
41301000133213133020
53442001311124222
6131424321110040
711523642311445
oct1610037473710
9377173637426
10121341114312
1147507994160
121b624a88320
13b599cb9132
145c314ca9cc
153252ab7b5c
hex1c407e77c8

121341114312 has 64 divisors (see below), whose sum is σ = 339874401600. Its totient is φ = 35776247040.

The previous prime is 121341114299. The next prime is 121341114317. The reversal of 121341114312 is 213411143121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121341114317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6201387 + ... + 6220922.

It is an arithmetic number, because the mean of its divisors is an integer number (5310537525).

Almost surely, 2121341114312 is an apocalyptic number.

121341114312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121341114312 is an abundant number, since it is smaller than the sum of its proper divisors (218533287288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121341114312 is a wasteful number, since it uses less digits than its factorization.

121341114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422366 (or 12422362 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 121341114312 its reverse (213411143121), we get a palindrome (334752257433).

The spelling of 121341114312 in words is "one hundred twenty-one billion, three hundred forty-one million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 12422309 24844618 37266927 49689236 74533854 99378472 136645399 149067708 273290798 298135416 409936197 459625433 546581596 819872394 919250866 1093163192 1378876299 1639744788 1838501732 2757752598 3279489576 3677003464 5055879763 5515505196 10111759526 11031010392 15167639289 20223519052 30335278578 40447038104 60670557156 121341114312