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12240343114300 = 2252725474566781
BaseRepresentation
bin1011001000011110110101…
…0011011010001000111100
31121100011110120001100010101
42302013231103122020330
53101021210314124200
642011045213050444
72402223053535400
oct262075523321074
947304416040111
1012240343114300
11399a111645984
121458316186a24
136aa34aba6312
14304615a65100
151635ed05526a
hexb21ed4da23c

12240343114300 has 108 divisors (see below), whose sum is σ = 30954616553784. Its totient is φ = 4189015958400.

The previous prime is 12240343114273. The next prime is 12240343114301. The reversal of 12240343114300 is 341134304221.

It is a happy number.

12240343114300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240343114301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396910 + ... + 4963690.

Almost surely, 212240343114300 is an apocalyptic number.

12240343114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240343114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477308276892).

12240343114300 is an abundant number, since it is smaller than the sum of its proper divisors (18714273439484).

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

12240343114300 is a wasteful number, since it uses less digits than its factorization.

12240343114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567356 (or 4567342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12240343114300 its reverse (341134304221), we get a palindrome (12581477418521).

It can be divided in two parts, 1224034 and 3114300, that added together give a palindrome (4338334).

The spelling of 12240343114300 in words is "twelve trillion, two hundred forty billion, three hundred forty-three million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 547 700 980 1094 1225 2188 2450 2735 3829 4900 5470 7658 10940 13675 15316 19145 26803 27350 38290 53606 54700 76580 95725 107212 134015 191450 268030 382900 536060 670075 1340150 2680300 4566781 9133562 18267124 22833905 31967467 45667810 63934934 91335620 114169525 127869868 159837335 223772269 228339050 319674670 447544538 456678100 639349340 799186675 895089076 1118861345 1598373350 2237722690 2498029207 3196746700 4475445380 4996058414 5594306725 9992116828 11188613450 12490146035 17486204449 22377226900 24980292070 34972408898 49960584140 62450730175 69944817796 87431022245 122403431143 124901460350 174862044490 244806862286 249802920700 349724088980 437155111225 489613724572 612017155715 874310222450 1224034311430 1748620444900 2448068622860 3060085778575 6120171557150 12240343114300