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121112212000 = 2553132329081
BaseRepresentation
bin111000011001011011…
…0011011001000100000
3102120121111222211112111
41300302312123020200
53441014211241000
6131345503005104
711515162546663
oct1606266331040
9376544884474
10121112212000
11473aa76049a
121b580299794
13b561752690
145c0cd436da
15323c94ecba
hex1c32d9b220

121112212000 has 96 divisors (see below), whose sum is σ = 320463050544. Its totient is φ = 44718336000.

The previous prime is 121112211973. The next prime is 121112212021. The reversal of 121112212000 is 212211121.

It can be written as a sum of positive squares in 8 ways, for example, as 7788415504 + 113323796496 = 88252^2 + 336636^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112541 + ... + 1216540.

Almost surely, 2121112212000 is an apocalyptic number.

121112212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112212000 is an abundant number, since it is smaller than the sum of its proper divisors (199350838544).

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

121112212000 is a wasteful number, since it uses less digits than its factorization.

121112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329119 (or 2329101 counting only the distinct ones).

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

Adding to 121112212000 its reverse (212211121), we get a palindrome (121324423121).

The spelling of 121112212000 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2329081 4658162 9316324 11645405 18632648 23290810 30278053 37265296 46581620 58227025 60556106 74530592 93163240 116454050 121112212 151390265 186326480 232908100 242224424 291135125 302780530 372652960 465816200 484448848 582270250 605561060 756951325 931632400 968897696 1164540500 1211122120 1513902650 1863264800 2329081000 2422244240 3027805300 3784756625 4658162000 4844488480 6055610600 7569513250 9316324000 12111221200 15139026500 24222442400 30278053000 60556106000 121112212000