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12214216755240 = 2335236274308001
BaseRepresentation
bin1011000110111101100000…
…0011010000100000101000
31121020200000202200210011020
42301233120003100200220
53100104203442131430
641551044514332440
72400306451255353
oct261573003204050
947220022623136
1012214216755240
11398a024a306a5
12145324458a120
136a7a461c0466
14303257c7b29a
15162abe541b10
hexb1bd80d0828

12214216755240 has 64 divisors (see below), whose sum is σ = 36644209652160. Its totient is φ = 3256985856000.

The previous prime is 12214216755229. The next prime is 12214216755241. The reversal of 12214216755240 is 4255761241221.

It is a junction number, because it is equal to n+sod(n) for n = 12214216755192 and 12214216755201.

It is not an unprimeable number, because it can be changed into a prime (12214216755241) 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, 681240 + ... + 4989240.

It is an arithmetic number, because the mean of its divisors is an integer number (572565775815).

Almost surely, 212214216755240 is an apocalyptic number.

12214216755240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214216755240 is an abundant number, since it is smaller than the sum of its proper divisors (24429992896920).

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

12214216755240 is a wasteful number, since it uses less digits than its factorization.

12214216755240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331642 (or 4331638 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

Adding to 12214216755240 its reverse (4255761241221), we get a palindrome (16469977996461).

The spelling of 12214216755240 in words is "twelve trillion, two hundred fourteen billion, two hundred sixteen million, seven hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 23627 47254 70881 94508 118135 141762 189016 236270 283524 354405 472540 567048 708810 945080 1417620 2835240 4308001 8616002 12924003 17232004 21540005 25848006 34464008 43080010 51696012 64620015 86160020 103392024 129240030 172320040 258480060 516960120 101785139627 203570279254 305355418881 407140558508 508925698135 610710837762 814281117016 1017851396270 1221421675524 1526777094405 2035702792540 2442843351048 3053554188810 4071405585080 6107108377620 12214216755240