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12130424244444 = 223112511321727701
BaseRepresentation
bin1011000010000101010110…
…1000001100100011011100
31120221122202010022012101110
42300201111220030203130
53042221102101310234
641444350122142020
72361252135546102
oct260412550144334
946848663265343
1012130424244444
113957536279080
12143ab5a651910
1369cb8144401c
142dd18955dc72
151608181361e9
hexb0855a0c8dc

12130424244444 has 96 divisors (see below), whose sum is σ = 31003925928192. Its totient is φ = 3660832000000.

The previous prime is 12130424244443. The next prime is 12130424244451. The reversal of 12130424244444 is 44444242403121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130424244443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437891794 + ... + 437919494.

It is an arithmetic number, because the mean of its divisors is an integer number (322957561752).

Almost surely, 212130424244444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130424244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501962964096).

12130424244444 is an abundant number, since it is smaller than the sum of its proper divisors (18873501683748).

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

12130424244444 is a wasteful number, since it uses less digits than its factorization.

12130424244444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41187 (or 41185 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 12130424244444 its reverse (44444242403121), we get a palindrome (56574666647565).

The spelling of 12130424244444 in words is "twelve trillion, one hundred thirty billion, four hundred twenty-four million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1506 2761 3012 5522 8283 11044 13217 16566 26434 27701 33132 39651 52868 55402 79302 83103 110804 145387 158604 166206 290774 304711 332412 436161 581548 609422 872322 914133 1218844 1744644 1828266 3317467 3656532 6634934 6952951 9952401 13269868 13905902 19904802 20858853 27811804 36492137 39809604 41717706 72984274 76482461 83435412 109476411 145968548 152964922 218952822 229447383 305929844 366124117 437905644 458894766 732248234 917789532 1098372351 1464496468 2196744702 4027365287 4393489404 8054730574 12082095861 16109461148 24164191722 48328383444 91897153367 183794306734 275691460101 367588613468 551382920202 1010868687037 1102765840404 2021737374074 3032606061111 4043474748148 6065212122222 12130424244444