Search a number
-
+
221122122012 = 223211558389197
BaseRepresentation
bin1100110111101111100…
…1111101000100011100
3210010202101021122202200
43031323321331010130
512110324230401022
6245325422251500
721655420011441
oct3157371750434
9703671248680
10221122122012
1185860745090
1236a31426b90
1317b0c321a1c
14a9b94239c8
155b42995bac
hex337be7d11c

221122122012 has 36 divisors (see below), whose sum is σ = 609761004216. Its totient is φ = 67006703520.

The previous prime is 221122122007. The next prime is 221122122019. The reversal of 221122122012 is 210221221122.

It is a happy number.

221122122012 is a `hidden beast` number, since 2 + 211 + 221 + 220 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122122019) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 279194203 + ... + 279194994.

Almost surely, 2221122122012 is an apocalyptic number.

221122122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221122122012 is an abundant number, since it is smaller than the sum of its proper divisors (388638882204).

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

221122122012 is a wasteful number, since it uses less digits than its factorization.

221122122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558389218 (or 558389213 counting only the distinct ones).

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

Adding to 221122122012 its reverse (210221221122), we get a palindrome (431343343134).

The spelling of 221122122012 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 558389197 1116778394 1675167591 2233556788 3350335182 5025502773 6142281167 6700670364 10051005546 12284562334 18426843501 20102011092 24569124668 36853687002 55280530503 73707374004 110561061006 221122122012