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12321103201232 = 2472359109743747
BaseRepresentation
bin1011001101001011101011…
…1110101100001111010000
31121121212220212101211101012
42303102322332230033100
53103332104404414412
642112123042030052
72411112265130030
oct263227276541720
947555825354335
1012321103201232
113a20394601581
12146bab4648328
136b4b4b627bc7
143084b77398c0
15165778114c22
hexb34bafac3d0

12321103201232 has 160 divisors (see below), whose sum is σ = 29216801433600. Its totient is φ = 4919719140864.

The previous prime is 12321103201201. The next prime is 12321103201249. The reversal of 12321103201232 is 23210230112321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12321103201198 and 12321103201207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16194383 + ... + 16938129.

It is an arithmetic number, because the mean of its divisors is an integer number (182605008960).

Almost surely, 212321103201232 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 12321103201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608400716800).

12321103201232 is an abundant number, since it is smaller than the sum of its proper divisors (16895698232368).

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

12321103201232 is a wasteful number, since it uses less digits than its factorization.

12321103201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743953 (or 743947 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12321103201232 its reverse (23210230112321), we get a palindrome (35531333313553).

The spelling of 12321103201232 in words is "twelve trillion, three hundred twenty-one billion, one hundred three million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 59 92 109 112 118 161 184 218 236 322 368 413 436 472 644 763 826 872 944 1288 1357 1526 1652 1744 2507 2576 2714 3052 3304 5014 5428 6104 6431 6608 9499 10028 10856 12208 12862 17549 18998 20056 21712 25724 35098 37996 40112 45017 51448 70196 75992 90034 102896 140392 147913 151984 180068 280784 295826 360136 591652 720272 743747 1035391 1183304 1487494 2070782 2366608 2974988 4141564 5206229 5949976 8283128 10412458 11899952 16566256 17106181 20824916 34212362 41649832 43881073 68424724 81068423 83299664 87762146 119743267 136849448 162136846 175524292 239486534 273698896 307167511 324273692 351048584 478973068 567478961 614335022 648547384 702097168 957946136 1009264679 1134957922 1228670044 1297094768 1864573729 1915892272 2018529358 2269915844 2457340088 3729147458 4037058716 4539831688 4783036957 4914680176 7064852753 7458294916 8074117432 9079663376 9566073914 13052016103 14129705506 14916589832 16148234864 19132147828 26104032206 28259411012 29833179664 33481258699 38264295656 52208064412 56518822024 66962517398 76528591312 104416128824 110009850011 113037644048 133925034796 208832257648 220019700022 267850069592 440039400044 535700139184 770068950077 880078800088 1540137900154 1760157600176 3080275800308 6160551600616 12321103201232