Search a number
-
+
121120320312 = 23329717342543
BaseRepresentation
bin111000011001101010…
…1010110101100111000
3102120122002020210001100
41300303111112230320
53441023300222222
6131350352451400
711515321510245
oct1606325265470
9376562223040
10121120320312
1147404299382
121b582b49b60
13b5633311b4
145c100545cc
15323d5024ac
hex1c33556b38

121120320312 has 48 divisors (see below), whose sum is σ = 331416015840. Its totient is φ = 39957216768.

The previous prime is 121120320259. The next prime is 121120320323. The reversal of 121120320312 is 213023021121.

121120320312 is a `hidden beast` number, since 1 + 2 + 11 + 20 + 320 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8664288 + ... + 8678255.

It is an arithmetic number, because the mean of its divisors is an integer number (6904500330).

Almost surely, 2121120320312 is an apocalyptic number.

121120320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121120320312 is an abundant number, since it is smaller than the sum of its proper divisors (210295695528).

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

121120320312 is a wasteful number, since it uses less digits than its factorization.

121120320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17342652 (or 17342645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121120320312 its reverse (213023021121), we get a palindrome (334143341433).

The spelling of 121120320312 in words is "one hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 17342543 34685086 52027629 69370172 104055258 138740344 156082887 208110516 312165774 416221032 624331548 1248663096 1682226671 3364453342 5046680013 6728906684 10093360026 13457813368 15140040039 20186720052 30280080078 40373440104 60560160156 121120320312