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121311231320 = 23541271499547
BaseRepresentation
bin111000011111010110…
…1100111110101011000
3102121010101111001201102
41300332231213311120
53441421133400240
6131421332410532
711523130311146
oct1607655476530
9377111431642
10121311231320
11474a2033674
121b616a76a48
13b593a554a6
145c2b54c596
153250163815
hex1c3eb67d58

121311231320 has 128 divisors (see below), whose sum is σ = 281715840000. Its totient is φ = 46985702400.

The previous prime is 121311231317. The next prime is 121311231323. The reversal of 121311231320 is 23132113121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121311231317) and next prime (121311231323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121311231292 and 121311231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311231323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221775287 + ... + 221775833.

It is an arithmetic number, because the mean of its divisors is an integer number (2200905000).

Almost surely, 2121311231320 is an apocalyptic number.

121311231320 is a gapful number since it is divisible by the number (10) 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 121311231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140857920000).

121311231320 is an abundant number, since it is smaller than the sum of its proper divisors (160404608680).

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

121311231320 is a wasteful number, since it uses less digits than its factorization.

121311231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121311231320 its reverse (23132113121), we get a palindrome (144443344441).

The spelling of 121311231320 in words is "one hundred twenty-one billion, three hundred eleven million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 499 542 547 820 998 1084 1094 1355 1640 1996 2168 2188 2495 2710 2735 3992 4376 4990 5420 5470 9980 10840 10940 11111 19960 20459 21880 22222 22427 40918 44444 44854 55555 81836 88888 89708 102295 111110 112135 135229 148237 163672 179416 204590 222220 224270 270458 272953 296474 409180 444440 448540 540916 545906 592948 676145 741185 818360 897080 1081832 1091812 1185896 1352290 1364765 1482370 2183624 2704580 2729530 2964740 5409160 5459060 5544389 5929480 6077717 10918120 11088778 11191073 12155434 22177556 22382146 24310868 27721945 30388585 44355112 44764292 48621736 55443890 55955365 60777170 73970263 89528584 110887780 111910730 121554340 147940526 221775560 223821460 243108680 295881052 369851315 447642920 591762104 739702630 1479405260 2958810520 3032780783 6065561566 12131123132 15163903915 24262246264 30327807830 60655615660 121311231320