Search a number
-
+
120020222112 = 253736595531
BaseRepresentation
bin110111111000111000…
…0110100000010100000
3102110210102020000000120
41233301300310002200
53431300134101422
6131045253520240
711446133025000
oct1576160640240
9373712200016
10120020222112
114699a31730a
121b316643080
13b41944790b
145b47ccc000
1531c6b4c45c
hex1bf1c340a0

120020222112 has 192 divisors, whose sum is σ = 368032896000. Its totient is φ = 34233265920.

The previous prime is 120020222099. The next prime is 120020222117. The reversal of 120020222112 is 211222020021.

It is a junction number, because it is equal to n+sod(n) for n = 120020222091 and 120020222100.

It is not an unprimeable number, because it can be changed into a prime (120020222117) 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, 21696787 + ... + 21702317.

It is an arithmetic number, because the mean of its divisors is an integer number (1916838000).

Almost surely, 2120020222112 is an apocalyptic number.

120020222112 is a gapful number since it is divisible by the number (12) 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 120020222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184016448000).

120020222112 is an abundant number, since it is smaller than the sum of its proper divisors (248012673888).

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

120020222112 is an equidigital number, since it uses as much as digits as its factorization.

120020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120020222112 its reverse (211222020021), we get a palindrome (331242242133).

The spelling of 120020222112 in words is "one hundred twenty billion, twenty million, two hundred twenty-two thousand, one hundred twelve".