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1124134123212 = 223429569210263
BaseRepresentation
bin10000010110111011100…
…111010111011011001100
310222110120211200020220000
4100112323213113123030
5121404211313420322
62220230423324300
7144134043250542
oct20267347273314
93873524606800
101124134123212
113a3819451a71
12161a462b0690
138200bb04a59
143c5a0857d92
151e3946373ac
hex105bb9d76cc

1124134123212 has 120 divisors (see below), whose sum is σ = 3045400696800. Its totient is φ = 361152739584.

The previous prime is 1124134123193. The next prime is 1124134123213. The reversal of 1124134123212 is 2123214314211.

1124134123212 is a `hidden beast` number, since 1 + 1 + 2 + 413 + 4 + 1 + 232 + 12 = 666.

It is a super-2 number, since 2×11241341232122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1124134123213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5241193 + ... + 5451455.

It is an arithmetic number, because the mean of its divisors is an integer number (25378339140).

Almost surely, 21124134123212 is an apocalyptic number.

1124134123212 is a gapful number since it is divisible by the number (12) 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 1124134123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522700348400).

1124134123212 is an abundant number, since it is smaller than the sum of its proper divisors (1921266573588).

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

1124134123212 is a wasteful number, since it uses less digits than its factorization.

1124134123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210877 (or 210866 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 1124134123212 its reverse (2123214314211), we get a palindrome (3247348437423).

It can be divided in two parts, 11241 and 34123212, that added together give a triangular number (34134453 = T8262).

The spelling of 1124134123212 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-four million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 569 783 1044 1138 1566 1707 2276 2349 3132 3414 4698 5121 6828 9396 10242 15363 16501 20484 30726 33002 46089 49503 61452 66004 92178 99006 148509 184356 198012 210263 297018 420526 445527 594036 630789 841052 891054 1261578 1336581 1782108 1892367 2523156 2673162 3784734 5346324 5677101 6097627 7569468 11354202 12195254 17031303 18292881 22708404 24390508 34062606 36585762 54878643 68125212 73171524 109757286 119639647 164635929 219514572 239279294 329271858 358918941 478558588 493907787 658543716 717837882 987815574 1076756823 1435675764 1975631148 2153513646 3230270469 3469549763 4307027292 6460540938 6939099526 9690811407 10408649289 12921081876 13878199052 19381622814 20817298578 31225947867 38763245628 41634597156 62451895734 93677843601 124903791468 187355687202 281033530803 374711374404 562067061606 1124134123212