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121000440 = 233511312957
BaseRepresentation
bin1110011011001…
…01000111111000
322102200110101210
413031211013320
5221434003230
620001243120
72666325651
oct715450770
9272613353
10121000440
1162335470
12346334a0
131c0b73c2
14120da528
15a951eb0
hex73651f8

121000440 has 128 divisors (see below), whose sum is σ = 408913920. Its totient is φ = 28377600.

The previous prime is 121000433. The next prime is 121000457. The reversal of 121000440 is 44000121.

It is a super-2 number, since 2×1210004402 = 29282212960387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 39442 + ... + 42398.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2121000440 is an apocalyptic number.

121000440 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 121000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204456960).

121000440 is an abundant number, since it is smaller than the sum of its proper divisors (287913480).

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

121000440 is a wasteful number, since it uses less digits than its factorization.

121000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121000440 is about 11000.0199999818. The cubic root of 121000440 is about 494.6093438499.

Adding to 121000440 its reverse (44000121), we get a palindrome (165000561).

The spelling of 121000440 in words is "one hundred twenty-one million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 2957 3410 3720 4092 5115 5914 6820 8184 8871 10230 11828 13640 14785 17742 20460 23656 29570 32527 35484 40920 44355 59140 65054 70968 88710 91667 97581 118280 130108 162635 177420 183334 195162 260216 275001 325270 354840 366668 390324 458335 487905 550002 650540 733336 780648 916670 975810 1008337 1100004 1301080 1375005 1833340 1951620 2016674 2200008 2750010 3025011 3666680 3903240 4033348 5041685 5500020 6050022 8066696 10083370 11000040 12100044 15125055 20166740 24200088 30250110 40333480 60500220 121000440