Search a number
-
+
121201110222210 = 2335496889903407
BaseRepresentation
bin11011100011101101010101…
…000111110000010110000010
3120220010201020202120021111000
4123203231111013300112002
5111341224333204102320
61105435004341232430
734346330332466514
oct3343552507602602
9526121222507430
10121201110222210
1135689114017717
1211715706702716
1352822a5a340a5
1421d0244bd7bb4
15e02abba45c90
hex6e3b551f0582

121201110222210 has 64 divisors (see below), whose sum is σ = 323203968806400. Its totient is φ = 32320195238016.

The previous prime is 121201110222209. The next prime is 121201110222223. The reversal of 121201110222210 is 12222011102121.

121201110222210 is a `hidden beast` number, since 1 + 2 + 120 + 1 + 110 + 222 + 210 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 133708327 + ... + 134611733.

It is an arithmetic number, because the mean of its divisors is an integer number (5050062012600).

Almost surely, 2121201110222210 is an apocalyptic number.

121201110222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121201110222210 is an abundant number, since it is smaller than the sum of its proper divisors (202002858584190).

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

121201110222210 is a wasteful number, since it uses less digits than its factorization.

121201110222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400312 (or 1400306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201110222210 its reverse (12222011102121), we get a palindrome (133423121324331).

The spelling of 121201110222210 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred ten million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 496889 903407 993778 1490667 1806814 2484445 2710221 2981334 4472001 4517035 4968890 5420442 7453335 8130663 8944002 9034070 13416003 13551105 14906670 16261326 22360005 24391989 26832006 27102210 40653315 44720010 48783978 67080015 81306630 121959945 134160030 243919890 448893000823 897786001646 1346679002469 2244465004115 2693358004938 4040037007407 4488930008230 6733395012345 8080074014814 12120111022221 13466790024690 20200185037035 24240222044442 40400370074070 60600555111105 121201110222210