Search a number
-
+
121111221011112 = 233210976120278729
BaseRepresentation
bin11011100010011001100111…
…010011101000001010101000
3120212211010020020011020011100
4123202121213103220022220
5111333241240034323422
61105325420555401400
734336665650011623
oct3342314723501250
9525733206136140
10121111221011112
1135653a86996a02
12117001baa53260
13527697bb62297
1421c9b588d8dba
15e005aa2a07ac
hex6e26674e82a8

121111221011112 has 96 divisors (see below), whose sum is σ = 331453813977000. Its totient is φ = 39947471861760.

The previous prime is 121111221011071. The next prime is 121111221011167. The reversal of 121111221011112 is 211110122111121.

It can be written as a sum of positive squares in 4 ways, for example, as 32130599844996 + 88980621166116 = 5668386^2 + 9432954^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4167037 + ... + 16111692.

Almost surely, 2121111221011112 is an apocalyptic number.

121111221011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121111221011112 is an abundant number, since it is smaller than the sum of its proper divisors (210342592965888).

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

121111221011112 is a wasteful number, since it uses less digits than its factorization.

121111221011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279611 (or 20279604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121111221011112 its reverse (211110122111121), we get a palindrome (332221343122233).

The spelling of 121111221011112 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 761 872 981 1308 1522 1962 2283 2616 3044 3924 4566 6088 6849 7848 9132 13698 18264 27396 54792 82949 165898 248847 331796 497694 663592 746541 995388 1493082 1990776 2986164 5972328 20278729 40557458 60836187 81114916 121672374 162229832 182508561 243344748 365017122 486689496 730034244 1460068488 2210381461 4420762922 6631144383 8841525844 13262288766 15432112769 17683051688 19893433149 26524577532 30864225538 39786866298 46296338307 53049155064 61728451076 79573732596 92592676614 123456902152 138889014921 159147465192 185185353228 277778029842 370370706456 555556059684 1111112119368 1682100291821 3364200583642 5046300875463 6728401167284 10092601750926 13456802334568 15138902626389 20185203501852 30277805252778 40370407003704 60555610505556 121111221011112