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121040040 = 233511471951
BaseRepresentation
bin1110011011011…
…10110010101000
322102202110201110
413031232302220
5221441240130
620002150320
72666552262
oct715566250
9272673643
10121040040
11623621a0
12346523a0
131c0cc434
141210ab32
15a95dab0
hex736eca8

121040040 has 128 divisors (see below), whose sum is σ = 404766720. Its totient is φ = 28704000.

The previous prime is 121040033. The next prime is 121040041. The reversal of 121040040 is 40040121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121039998 and 121040025.

It is not an unprimeable number, because it can be changed into a prime (121040041) 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, 61065 + ... + 63015.

It is an arithmetic number, because the mean of its divisors is an integer number (3162240).

Almost surely, 2121040040 is an apocalyptic number.

121040040 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 121040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202383360).

121040040 is an abundant number, since it is smaller than the sum of its proper divisors (283726680).

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

121040040 is a wasteful number, since it uses less digits than its factorization.

121040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

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

The square root of 121040040 is about 11001.8198494613. The cubic root of 121040040 is about 494.6632951515.

Adding to 121040040 its reverse (40040121), we get a palindrome (161080161).

The spelling of 121040040 in words is "one hundred twenty-one million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 1951 2068 2585 2820 3102 3902 4136 5170 5640 5853 6204 7755 7804 9755 10340 11706 12408 15510 15608 19510 20680 21461 23412 29265 31020 39020 42922 46824 58530 62040 64383 78040 85844 91697 107305 117060 128766 171688 183394 214610 234120 257532 275091 321915 366788 429220 458485 515064 550182 643830 733576 858440 916970 1008667 1100364 1287660 1375455 1833940 2017334 2200728 2575320 2750910 3026001 3667880 4034668 5043335 5501820 6052002 8069336 10086670 11003640 12104004 15130005 20173340 24208008 30260010 40346680 60520020 121040040