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121330020 = 223571716993
BaseRepresentation
bin1110011101101…
…01100101100100
322110022012111110
413032311211210
5222030030040
620012305020
73002200560
oct716654544
9273265443
10121330020
1162540049
1234772170
131c1a1416
14121846a0
15a9b9980
hex73b5964

121330020 has 96 divisors (see below), whose sum is σ = 411118848. Its totient is φ = 26099712.

The previous prime is 121329977. The next prime is 121330031. The reversal of 121330020 is 20033121.

It is a happy number.

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 = 121329978 and 121330005.

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, 1357 + ... + 15636.

It is an arithmetic number, because the mean of its divisors is an integer number (4282488).

Almost surely, 2121330020 is an apocalyptic number.

121330020 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 121330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205559424).

121330020 is an abundant number, since it is smaller than the sum of its proper divisors (289788828).

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

121330020 is a wasteful number, since it uses less digits than its factorization.

121330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17029 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 121330020 is about 11014.9906945036. The cubic root of 121330020 is about 495.0580076903.

Adding to 121330020 its reverse (20033121), we get a palindrome (141363141).

The spelling of 121330020 in words is "one hundred twenty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 16993 33986 50979 67972 84965 101958 118951 169930 203916 237902 254895 288881 339860 356853 475804 509790 577762 594755 713706 866643 1019580 1155524 1189510 1427412 1444405 1733286 1784265 2022167 2379020 2888810 3466572 3568530 4044334 4333215 5777620 6066501 7137060 8088668 8666430 10110835 12133002 17332860 20221670 24266004 30332505 40443340 60665010 121330020