Search a number
-
+
120111112200 = 233525317921101
BaseRepresentation
bin110111111011100101…
…1100010000000001000
3102111000202020200210010
41233313023202000020
53431441421042300
6131102301551520
711451315415452
oct1576713420010
9374022220703
10120111112200
1146a36656392
121b340b755a0
13b43221ba31
145b55dcb2d2
1531ceb02a50
hex1bf72e2008

120111112200 has 192 divisors, whose sum is σ = 381507278400. Its totient is φ = 31248256000.

The previous prime is 120111112193. The next prime is 120111112201. The reversal of 120111112200 is 2211111021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120111112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5681650 + ... + 5702750.

It is an arithmetic number, because the mean of its divisors is an integer number (1987017075).

Almost surely, 2120111112200 is an apocalyptic number.

120111112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120111112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190753639200).

120111112200 is an abundant number, since it is smaller than the sum of its proper divisors (261396166200).

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

120111112200 is a wasteful number, since it uses less digits than its factorization.

120111112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120111112200 its reverse (2211111021), we get a palindrome (122322223221).

It can be divided in two parts, 12011 and 1112200, that added together give a palindrome (1124211).

The spelling of 120111112200 in words is "one hundred twenty billion, one hundred eleven million, one hundred twelve thousand, two hundred".