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121287420 = 223256789113
BaseRepresentation
bin1110011101010…
…11001011111100
322110020001001200
413032223023330
5222022144140
620011335500
73001632432
oct716531374
9273201050
10121287420
1162511041
1234751590
131c187c07
1412172d52
15a9ac030
hex73ab2fc

121287420 has 144 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 31223808.

The previous prime is 121287409. The next prime is 121287427. The reversal of 121287420 is 24782121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121287427) by changing a digit.

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, 1073284 + ... + 1073396.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2121287420 is an apocalyptic number.

121287420 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 121287420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

121287420 is an abundant number, since it is smaller than the sum of its proper divisors (259645860).

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

121287420 is a wasteful number, since it uses less digits than its factorization.

121287420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121287420 is about 11013.0567963668. The cubic root of 121287420 is about 495.0000612182. Note that the first 4 decimals are identical.

The spelling of 121287420 in words is "one hundred twenty-one million, two hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 89 90 113 134 178 180 201 226 267 268 335 339 356 402 445 452 534 565 603 670 678 801 804 890 1005 1017 1068 1130 1206 1335 1340 1356 1602 1695 1780 2010 2034 2260 2412 2670 3015 3204 3390 4005 4020 4068 5085 5340 5963 6030 6780 7571 8010 10057 10170 11926 12060 15142 16020 17889 20114 20340 22713 23852 29815 30171 30284 35778 37855 40228 45426 50285 53667 59630 60342 68139 71556 75710 89445 90513 90852 100570 107334 113565 119260 120684 136278 150855 151420 178890 181026 201140 214668 227130 268335 272556 301710 340695 357780 362052 452565 454260 536670 603420 673819 681390 905130 1073340 1347638 1362780 1810260 2021457 2695276 3369095 4042914 6064371 6738190 8085828 10107285 12128742 13476380 20214570 24257484 30321855 40429140 60643710 121287420