Search a number
-
+
121422203112 = 23371761968683
BaseRepresentation
bin111000100010101010…
…0111100100011101000
3102121102010022000101210
41301011110330203220
53442133040444422
6131440335113120
711525645461110
oct1610524744350
9377363260353
10121422203112
11475497393a1
121b6480727a0
13b5b0a3ac82
145c3c198040
153259c8410c
hex1c4553c8e8

121422203112 has 128 divisors (see below), whose sum is σ = 367926451200. Its totient is φ = 32598125568.

The previous prime is 121422203099. The next prime is 121422203141. The reversal of 121422203112 is 211302224121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1733523 + ... + 1802205.

It is an arithmetic number, because the mean of its divisors is an integer number (2874425400).

Almost surely, 2121422203112 is an apocalyptic number.

121422203112 is a gapful number since it is divisible by the number (12) 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 121422203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183963225600).

121422203112 is an abundant number, since it is smaller than the sum of its proper divisors (246504248088).

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

121422203112 is a wasteful number, since it uses less digits than its factorization.

121422203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69335 (or 69331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121422203112 its reverse (211302224121), we get a palindrome (332724427233).

The spelling of 121422203112 in words is "one hundred twenty-one billion, four hundred twenty-two million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 619 714 952 1238 1428 1857 2476 2856 3714 4333 4952 7428 8666 10523 12999 14856 17332 21046 25998 31569 34664 42092 51996 63138 68683 73661 84184 103992 126276 137366 147322 206049 220983 252552 274732 294644 412098 441966 480781 549464 589288 824196 883932 961562 1167611 1442343 1648392 1767864 1923124 2335222 2884686 3502833 3846248 4670444 5769372 7005666 8173277 9340888 11538744 14011332 16346554 24519831 28022664 32693108 42514777 49039662 65386216 85029554 98079324 127544331 170059108 196158648 255088662 297603439 340118216 510177324 595206878 722751209 892810317 1020354648 1190413756 1445502418 1785620634 2168253627 2380827512 2891004836 3571241268 4336507254 5059258463 5782009672 7142482536 8673014508 10118516926 15177775389 17346029016 20237033852 30355550778 40474067704 60711101556 121422203112