Search a number
-
+
121200120012222 = 23323120539809569
BaseRepresentation
bin11011100011101100011010…
…000110011001110110111110
3120220010121200202022101202000
4123203230122012121312332
5111341220321210342342
61105434322205443130
734346263650032106
oct3343543206316676
9526117622271660
10121200120012222
1135688756080259
121171548ab704a6
135282178844014
1421d018d4b8206
15e02a5eb4a44c
hex6e3b1a199dbe

121200120012222 has 64 divisors (see below), whose sum is σ = 281046435264000. Its totient is φ = 38643148203264.

The previous prime is 121200120012221. The next prime is 121200120012239. The reversal of 121200120012222 is 222210021002121.

It is a happy number.

121200120012222 is a `hidden beast` number, since 121 + 200 + 1 + 200 + 122 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121200120012195 and 121200120012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200120012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149304654 + ... + 150114222.

It is an arithmetic number, because the mean of its divisors is an integer number (4391350551000).

Almost surely, 2121200120012222 is an apocalyptic number.

121200120012222 is an abundant number, since it is smaller than the sum of its proper divisors (159846315251778).

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

121200120012222 is a wasteful number, since it uses less digits than its factorization.

121200120012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930142 (or 930136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121200120012222 its reverse (222210021002121), we get a palindrome (343410141014343).

The spelling of 121200120012222 in words is "one hundred twenty-one trillion, two hundred billion, one hundred twenty million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 120539 241078 361617 723234 809569 1084851 1619138 2169702 2428707 2772397 3254553 4857414 5544794 6509106 7286121 8317191 14572242 16634382 18620087 21858363 24951573 37240174 43716726 49903146 55860261 74854719 111720522 149709438 167580783 335161566 502742349 1005484698 97584637691 195169275382 292753913073 585507826146 878261739219 1756523478438 2244446666893 2634785217657 4488893333786 5269570435314 6733340000679 13466680001358 20200020002037 40400040004074 60600060006111 121200120012222