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1224210412404 = 2232753110982651
BaseRepresentation
bin10001110100001000101…
…000000111001101110100
311100000220022212111020100
4101310020220013031310
5130024140331144104
62334221113434100
7154306034545530
oct21641050071564
94300808774210
101224210412404
11432203954291
1217931570b930
138b59a375815
1443375a96bc0
1521ca03e1139
hex11d08a07374

1224210412404 has 144 divisors (see below), whose sum is σ = 3606629120640. Its totient is φ = 342861292800.

The previous prime is 1224210412343. The next prime is 1224210412423. The reversal of 1224210412404 is 4042140124221.

1224210412404 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 210 + 41 + 2 + 404 = 666.

It is a super-2 number, since 2×12242104124042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14770479 + ... + 14853129.

It is an arithmetic number, because the mean of its divisors is an integer number (25046035560).

Almost surely, 21224210412404 is an apocalyptic number.

1224210412404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224210412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803314560320).

1224210412404 is an abundant number, since it is smaller than the sum of its proper divisors (2382418708236).

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

1224210412404 is a wasteful number, since it uses less digits than its factorization.

1224210412404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83830 (or 83825 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1224210412404 its reverse (4042140124221), we get a palindrome (5266350536625).

The spelling of 1224210412404 in words is "one trillion, two hundred twenty-four billion, two hundred ten million, four hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1109 1113 1484 1908 2218 2226 3327 3339 4436 4452 6654 6678 7763 9981 13308 13356 15526 19962 23289 31052 39924 46578 58777 69867 82651 93156 117554 139734 165302 176331 235108 247953 279468 330604 352662 411439 495906 528993 578557 705324 743859 822878 991812 1057986 1157114 1234317 1487718 1645756 1735671 2115972 2314228 2468634 2975436 3471342 3702951 4380503 4937268 5207013 6942684 7405902 8761006 10414026 13141509 14811804 17522012 20828052 26283018 30663521 39424527 52566036 61327042 78849054 91659959 91990563 122654084 157698108 183319918 183981126 274979877 275971689 366639836 367962252 549959754 551943378 641619713 824939631 1099919508 1103886756 1283239426 1649879262 1924859139 2566478852 3299758524 3849718278 4857977827 5774577417 7699436556 9715955654 11549154834 14573933481 19431911308 23098309668 29147866962 34005844789 43721800443 58295733924 68011689578 87443600886 102017534367 136023379156 174887201772 204035068734 306052603101 408070137468 612105206202 1224210412404