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12123303400104 = 2331389456195723
BaseRepresentation
bin1011000001101010110100…
…1100010101001010101000
31120220222100212011211022220
42300122231030111022220
53042112011132300404
641441211345514040
72360610521431011
oct260325514251250
946828325154286
1012123303400104
113954511796356
1214396b1942920
1369c2b80a9a70
142dcab1948008
1516054cdeb4d9
hexb06ad3152a8

12123303400104 has 128 divisors (see below), whose sum is σ = 33013982332800. Its totient is φ = 3687487119360.

The previous prime is 12123303400093. The next prime is 12123303400127. The reversal of 12123303400104 is 40100430332121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126601987 + ... + 126697709.

It is an arithmetic number, because the mean of its divisors is an integer number (257921736975).

Almost surely, 212123303400104 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 12123303400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506991166400).

12123303400104 is an abundant number, since it is smaller than the sum of its proper divisors (20890678932696).

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

12123303400104 is a wasteful number, since it uses less digits than its factorization.

12123303400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100395 (or 100391 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12123303400104 its reverse (40100430332121), we get a palindrome (52223733732225).

The spelling of 12123303400104 in words is "twelve trillion, one hundred twenty-three billion, three hundred three million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 4561 4628 6942 9122 9256 13683 13884 18244 27366 27768 36488 54732 59293 95723 109464 118586 177879 191446 237172 287169 355758 382892 405929 474344 574338 711516 765784 811858 1148676 1217787 1244399 1423032 1623716 2297352 2435574 2488798 3247432 3733197 4871148 4977596 5277077 7466394 8519347 9742296 9955192 10554154 14932788 15831231 17038694 21108308 25558041 29865576 31662462 34077388 42216616 51116082 63324924 68154776 102232164 110751511 126649848 204464328 221503022 332254533 436592603 443006044 664509066 873185206 886012088 1309777809 1329018132 1746370412 2619555618 2658036264 3492740824 5239111236 5675703839 10478222472 11351407678 17027111517 22702815356 34054223034 38856741667 45405630712 68108446068 77713483334 116570225001 136216892136 155426966668 233140450002 310853933336 466280900004 505137641671 932561800008 1010275283342 1515412925013 2020550566684 3030825850026 4041101133368 6061651700052 12123303400104