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12240012340 = 2256171141307
BaseRepresentation
bin10110110011000111…
…11100010000110100
31011121000202001101101
423121203330100310
5200031420343330
65342321535444
7612214250113
oct133143742064
934530661341
1012240012340
115211193486
1224571a4584
131200abb16a
14841857c7a
154b98804ca
hex2d98fc434

12240012340 has 48 divisors (see below), whose sum is σ = 26493554304. Its totient is φ = 4747881600.

The previous prime is 12240012289. The next prime is 12240012349. The reversal of 12240012340 is 4321004221.

12240012340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240012349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15967 + ... + 157273.

It is an arithmetic number, because the mean of its divisors is an integer number (551949048).

Almost surely, 212240012340 is an apocalyptic number.

12240012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240012340 is an abundant number, since it is smaller than the sum of its proper divisors (14253541964).

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

12240012340 is a wasteful number, since it uses less digits than its factorization.

12240012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141448 (or 141446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12240012340 its reverse (4321004221), we get a palindrome (16561016561).

The spelling of 12240012340 in words is "twelve billion, two hundred forty million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 71 122 142 244 284 305 355 610 710 1220 1420 4331 8662 17324 21655 43310 86620 141307 282614 565228 706535 1413070 2826140 8619727 10032797 17239454 20065594 34478908 40131188 43098635 50163985 86197270 100327970 172394540 200655940 612000617 1224001234 2448002468 3060003085 6120006170 12240012340