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12235214313405 = 3258572543124759
BaseRepresentation
bin1011001000001011101110…
…0110100101011110111101
31121022200020010022020221200
42302002323212211132331
53100430204331012110
642004440241050113
72401652005463166
oct262027346453675
947280203266850
1012235214313405
113997a1a565956
121457324626939
136a9a1145b9a5
1430428a83676d
151633ecb5a6c0
hexb20bb9a57bd

12235214313405 has 48 divisors (see below), whose sum is σ = 21240970882560. Its totient is φ = 6515218070784.

The previous prime is 12235214313403. The next prime is 12235214313407. The reversal of 12235214313405 is 50431341253221.

12235214313405 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 5 + 214 + 31 + 3 + 405 = 666.

It is an interprime number because it is at equal distance from previous prime (12235214313403) and next prime (12235214313407).

It is not a de Polignac number, because 12235214313405 - 21 = 12235214313403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12235214313405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235214313403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98008416 + ... + 98133174.

It is an arithmetic number, because the mean of its divisors is an integer number (442520226720).

Almost surely, 212235214313405 is an apocalyptic number.

12235214313405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12235214313405 is a deficient number, since it is larger than the sum of its proper divisors (9005756569155).

12235214313405 is a wasteful number, since it uses less digits than its factorization.

12235214313405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128170 (or 128167 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12235214313405 its reverse (50431341253221), we get a palindrome (62666555566626).

The spelling of 12235214313405 in words is "twelve trillion, two hundred thirty-five billion, two hundred fourteen million, three hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 857 2543 2571 4285 7629 7713 12715 12855 22887 38145 38565 114435 124759 374277 623795 1122831 1871385 2179351 5614155 6538053 10896755 19614159 32690265 98070795 106918463 317262137 320755389 534592315 951786411 962266167 1586310685 1603776945 2855359233 4758932055 4811330835 14276796165 271893651409 815680954227 1359468257045 2447042862681 4078404771135 12235214313405