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121044420 = 223257175651
BaseRepresentation
bin1110011011011…
…11110111000100
322102202200201200
413031233313010
5221441410140
620002222500
72666601120
oct715576704
9272680650
10121044420
1162365512
1234654a30
131c101423
141210c580
15a960030
hex736fdc4

121044420 has 144 divisors (see below), whose sum is σ = 444382848. Its totient is φ = 26035200.

The previous prime is 121044409. The next prime is 121044431. The reversal of 121044420 is 24440121.

It is an interprime number because it is at equal distance from previous prime (121044409) and next prime (121044431).

It is a super-2 number, since 2×1210444202 = 29303503226272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121044393 and 121044402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18595 + ... + 24245.

It is an arithmetic number, because the mean of its divisors is an integer number (3085992).

Almost surely, 2121044420 is an apocalyptic number.

121044420 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 121044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222191424).

121044420 is an abundant number, since it is smaller than the sum of its proper divisors (323338428).

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

121044420 is a wasteful number, since it uses less digits than its factorization.

121044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 121044420 is about 11002.0189056373. The cubic root of 121044420 is about 494.6692617697.

Adding to 121044420 its reverse (24440121), we get a palindrome (145484541).

The spelling of 121044420 in words is "one hundred twenty-one million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 5651 7140 10710 11302 16953 21420 22604 28255 33906 39557 50859 56510 67812 79114 84765 96067 101718 113020 118671 158228 169530 192134 197785 203436 237342 254295 288201 339060 356013 384268 395570 474684 480335 508590 576402 593355 672469 712026 791140 864603 960670 1017180 1152804 1186710 1344938 1424052 1441005 1729206 1780065 1921340 2017407 2373420 2689876 2882010 3362345 3458412 3560130 4034814 4323015 5764020 6052221 6724690 7120260 8069628 8646030 10087035 12104442 13449380 17292060 20174070 24208884 30261105 40348140 60522210 121044420