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12441222214421 = 711313795472377
BaseRepresentation
bin1011010100001011001010…
…1000010111001100010101
31122001100222011111221021112
42311002302220113030111
53112314110341330141
642243230225224405
72422564040653460
oct265026250271425
948040864457245
1012441222214421
113a67324664000
12148b238192105
136c3282381c80
143102307c22d7
151689587787eb
hexb50b2a17315

12441222214421 has 128 divisors (see below), whose sum is σ = 17093913231360. Its totient is φ = 8815593346560.

The previous prime is 12441222214409. The next prime is 12441222214459.

12441222214421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12441222214421 - 230 = 12440148472597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441222213421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5234000585 + ... + 5234002961.

It is an arithmetic number, because the mean of its divisors is an integer number (133546197120).

Almost surely, 212441222214421 is an apocalyptic number.

12441222214421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12441222214421 is a deficient number, since it is larger than the sum of its proper divisors (4652691016939).

12441222214421 is a wasteful number, since it uses less digits than its factorization.

12441222214421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3034 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 1244122 and 2214421, that added together give a palindrome (3458543).

The spelling of 12441222214421 in words is "twelve trillion, four hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 7 11 13 77 79 91 121 143 547 553 847 869 1001 1027 1331 1573 2377 3829 6017 6083 7111 7189 9317 9559 11011 11297 16639 17303 26147 30901 42119 43213 49777 66187 66913 78221 79079 105149 121121 124267 183029 187783 216307 287617 302491 339911 463309 475343 547547 561769 728057 736043 860431 869869 1300219 1314481 1366937 2013319 2065613 2379377 2441179 3163787 3327401 3739021 3932383 5096399 5228773 6023017 6179459 9101533 9464741 9568559 14302409 14459291 16902847 17088253 22146509 22721743 26173147 26852969 36601411 41129231 43256213 57516503 66253187 67974049 100116863 102717301 118319929 157326499 159052201 185931317 187970783 249939173 287904617 295382659 402615521 475818343 719021107 747714539 1101285493 1129890311 1301519219 1335324913 1730591489 1749574211 2045244487 2067678613 3249209249 5234001773 7909232177 9347274391 12114140423 12428793421 14316711409 14688574043 22497689357 22744464743 87001553947 102820018301 136716727631 157483825499 161574314473 957017093417 1131020201311 1777317459203 12441222214421