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121012221320 = 235171989105239
BaseRepresentation
bin111000010110011100…
…0111111010110001000
3102120100112211210002222
41300230320333112020
53440313112040240
6131331531513212
711512536623654
oct1605470772610
9376315753088
10121012221320
1147359275a71
121b5528b8808
13b546b131b3
145bdd955a64
153233c9ceb5
hex1c2ce3f588

121012221320 has 128 divisors (see below), whose sum is σ = 306879840000. Its totient is φ = 42674429952.

The previous prime is 121012221299. The next prime is 121012221329. The reversal of 121012221320 is 23122210121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (121012221329) by changing a digit.

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, 1097261 + ... + 1202499.

It is an arithmetic number, because the mean of its divisors is an integer number (2397498750).

Almost surely, 2121012221320 is an apocalyptic number.

121012221320 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 121012221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153439920000).

121012221320 is an abundant number, since it is smaller than the sum of its proper divisors (185867618680).

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

121012221320 is a wasteful number, since it uses less digits than its factorization.

121012221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105375 (or 105371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 121012221320 its reverse (23122210121), we get a palindrome (144134431441).

The spelling of 121012221320 in words is "one hundred twenty-one billion, twelve million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 89 95 136 152 170 178 190 323 340 356 380 445 646 680 712 760 890 1292 1513 1615 1691 1780 2584 3026 3230 3382 3560 6052 6460 6764 7565 8455 12104 12920 13528 15130 16910 28747 30260 33820 57494 60520 67640 105239 114988 143735 210478 229976 287470 420956 526195 574940 841912 1052390 1149880 1789063 1999541 2104780 3578126 3999082 4209560 7156252 7998164 8945315 9366271 9997705 14312504 15996328 17890630 18732542 19995410 33992197 35781260 37465084 39990820 46831355 67984394 71562520 74930168 79981640 93662710 135968788 159226607 169960985 177959149 187325420 271937576 318453214 339921970 355918298 374650840 636906428 679843940 711836596 796133035 889795745 1273812856 1359687880 1423673192 1592266070 1779591490 3025305533 3184532140 3559182980 6050611066 6369064280 7118365960 12101222132 15126527665 24202444264 30253055330 60506110660 121012221320