Search a number
-
+
1211112212112 = 243311254863681
BaseRepresentation
bin10001100111111011111…
…010011100011010010000
311021210002111021222022000
4101213323322130122100
5124320324211241422
62324213253514000
7153333326642625
oct21477372343220
94253074258260
101211112212112
114276a22a7570
1217687b042900
138a29084054a
144289228834c
1521785542cac
hex119fbe9c690

1211112212112 has 80 divisors (see below), whose sum is σ = 3792371588160. Its totient is φ = 367003699200.

The previous prime is 1211112212069. The next prime is 1211112212113. The reversal of 1211112212112 is 2112122111121.

It is a happy number.

1211112212112 is a `hidden beast` number, since 121 + 111 + 221 + 211 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1211112212113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127427089 + ... + 127436592.

It is an arithmetic number, because the mean of its divisors is an integer number (47404644852).

Almost surely, 21211112212112 is an apocalyptic number.

1211112212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211112212112 is an abundant number, since it is smaller than the sum of its proper divisors (2581259376048).

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

1211112212112 is a wasteful number, since it uses less digits than its factorization.

1211112212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254863709 (or 254863697 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1211112212112 its reverse (2112122111121), we get a palindrome (3323234323233).

The spelling of 1211112212112 in words is "one trillion, two hundred eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 254863681 509727362 764591043 1019454724 1529182086 2038909448 2293773129 2803500491 3058364172 4077818896 4587546258 5607000982 6116728344 6881319387 8410501473 9175092516 11214001964 12233456688 13762638774 16821002946 18350185032 22428003928 25231504419 27525277548 33642005892 36700370064 44856007856 50463008838 55050555096 67284011784 75694513257 100926017676 110101110192 134568023568 151389026514 201852035352 302778053028 403704070704 605556106056 1211112212112