Search a number
-
+
121311010030212 = 223223146510881679
BaseRepresentation
bin11011100101010011101011…
…101010010000001010000100
3120220112012220212102222021100
4123211103223222100022010
5111400024422031431322
61110001301511420100
734360300626445152
oct3345235352201204
9526465825388240
10121311010030212
113572078a655022
1211732a77984630
13528c76b550c92
1421d56ac97a3d2
15e0589ee4bdac
hex6e54eba90284

121311010030212 has 36 divisors (see below), whose sum is σ = 319979765589120. Its totient is φ = 38678872762992.

The previous prime is 121311010030207. The next prime is 121311010030349. The reversal of 121311010030212 is 212030010113121.

121311010030212 is a `hidden beast` number, since 1 + 213 + 110 + 100 + 30 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1213110100302122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73255440012 + ... + 73255441667.

It is an arithmetic number, because the mean of its divisors is an integer number (8888326821920).

Almost surely, 2121311010030212 is an apocalyptic number.

121311010030212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121311010030212 is an abundant number, since it is smaller than the sum of its proper divisors (198668755558908).

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

121311010030212 is a wasteful number, since it uses less digits than its factorization.

121311010030212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146510881712 (or 146510881707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121311010030212 its reverse (212030010113121), we get a palindrome (333341020143333).

The spelling of 121311010030212 in words is "one hundred twenty-one trillion, three hundred eleven billion, ten million, thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 146510881679 293021763358 439532645037 586043526716 879065290074 1318597935111 1758130580148 2637195870222 3369750278617 5274391740444 6739500557234 10109250835851 13479001114468 20218501671702 30327752507553 40437003343404 60655505015106 121311010030212