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12442320312 = 2332973244889
BaseRepresentation
bin10111001011001111…
…01011110110111000
31012010010102100202020
423211213223312320
5200440213222222
65414350034440
7620221656222
oct134547536670
935103370666
1012442320312
115305402454
1224b2aa8a20
1312339a2b16
1486067b412
154cc4e365c
hex2e59ebdb8

12442320312 has 64 divisors (see below), whose sum is σ = 32619348000. Its totient is φ = 3949553664.

The previous prime is 12442320311. The next prime is 12442320313. The reversal of 12442320312 is 21302324421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12442320311) and next prime (12442320313).

It is a super-2 number, since 2×124423203122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442320311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71637 + ... + 173252.

Almost surely, 212442320312 is an apocalyptic number.

12442320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12442320312 is an abundant number, since it is smaller than the sum of its proper divisors (20177027688).

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

12442320312 is a wasteful number, since it uses less digits than its factorization.

12442320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245000 (or 244996 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12442320312 its reverse (21302324421), we get a palindrome (33744644733).

The spelling of 12442320312 in words is "twelve billion, four hundred forty-two million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 219 232 292 348 438 584 696 876 1752 2117 4234 6351 8468 12702 16936 25404 50808 244889 489778 734667 979556 1469334 1959112 2938668 5877336 7101781 14203562 17876897 21305343 28407124 35753794 42610686 53630691 56814248 71507588 85221372 107261382 143015176 170442744 214522764 429045528 518430013 1036860026 1555290039 2073720052 3110580078 4147440104 6221160156 12442320312