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121211021020 = 225172917371059
BaseRepresentation
bin111000011100010111…
…1010110011011011100
3102120212101220212000211
41300320233112123130
53441220010133040
6131403352502204
711520502451635
oct1607057263334
9376771825024
10121211021020
1147450509141
121b5a93aa964
13b57906a05b
145c1c10488c
15324646b8ea
hex1c38bd66dc

121211021020 has 96 divisors (see below), whose sum is σ = 280425499200. Its totient is φ = 43803561984.

The previous prime is 121211021011. The next prime is 121211021021. The reversal of 121211021020 is 20120112121.

It is a super-2 number, since 2×1212110210202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211021021) 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, 1670251 + ... + 1741309.

It is an arithmetic number, because the mean of its divisors is an integer number (2921098950).

Almost surely, 2121211021020 is an apocalyptic number.

121211021020 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 121211021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140212749600).

121211021020 is an abundant number, since it is smaller than the sum of its proper divisors (159214478180).

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

121211021020 is a wasteful number, since it uses less digits than its factorization.

121211021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71287 (or 71285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121211021020 its reverse (20120112121), we get a palindrome (141331133141).

The spelling of 121211021020 in words is "one hundred twenty-one billion, two hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 173 290 340 346 493 580 692 865 986 1730 1972 2465 2941 3460 4930 5017 5882 9860 10034 11764 14705 20068 25085 29410 50170 58820 71059 85289 100340 142118 170578 284236 341156 355295 426445 710590 852890 1208003 1421180 1705780 2060711 2416006 4121422 4832012 6040015 8242844 10303555 12080030 12293207 20607110 24160060 24586414 35032087 41214220 49172828 61466035 70064174 122932070 140128348 175160435 208984519 245864140 350320870 356503003 417969038 700641740 713006006 835938076 1044922595 1426012012 1782515015 2089845190 3565030030 4179690380 6060551051 7130060060 12121102102 24242204204 30302755255 60605510510 121211021020