Search a number
-
+
121121110122000 = 2435320186851687
BaseRepresentation
bin11011100010100010110100…
…101111100101111000010000
3120212212001202102021010000120
4123202202310233211320100
5111333422013142401000
61105334134141350240
734340466010036662
oct3342426457457020
9525761672233016
10121121110122000
11356581a105231a
12117020ba868380
1352778968957a1
1421ca416034532
15e009885576a0
hex6e28b4be5e10

121121110122000 has 80 divisors (see below), whose sum is σ = 390494459052672. Its totient is φ = 32298962697600.

The previous prime is 121121110121989. The next prime is 121121110122049. The reversal of 121121110122000 is 221011121121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10093419844 + ... + 10093431843.

Almost surely, 2121121110122000 is an apocalyptic number.

121121110122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121110122000 is an abundant number, since it is smaller than the sum of its proper divisors (269373348930672).

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

121121110122000 is a wasteful number, since it uses less digits than its factorization.

121121110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20186851713 (or 20186851697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121110122000 its reverse (221011121121), we get a palindrome (121342121243121).

The spelling of 121121110122000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 20186851687 40373703374 60560555061 80747406748 100934258435 121121110122 161494813496 201868516870 242242220244 302802775305 322989626992 403737033740 484484440488 504671292175 605605550610 807474067480 968968880976 1009342584350 1211211101220 1514013876525 1614948134960 2018685168700 2422422202440 2523356460875 3028027753050 4037370337400 4844844404880 5046712921750 6056055506100 7570069382625 8074740674800 10093425843500 12112111012200 15140138765250 20186851687000 24224222024400 30280277530500 40373703374000 60560555061000 121121110122000