Search a number
-
+
120202241220 = 223358919312959
BaseRepresentation
bin110111111110010011…
…1001010010011000100
3102111021002201112022000
41233330213022103010
53432133233204340
6131115315105300
711453503122645
oct1577447122304
9374232645260
10120202241220
1146a83038a26
121b3675a2230
13b448077829
145b6414d6cc
1531d7b03d30
hex1bfc9ca4c4

120202241220 has 192 divisors, whose sum is σ = 380153088000. Its totient is φ = 31527124992.

The previous prime is 120202241213. The next prime is 120202241227. The reversal of 120202241220 is 22142202021.

120202241220 is a `hidden beast` number, since 1 + 2 + 0 + 202 + 241 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (120202241213) and next prime (120202241227).

It is a super-2 number, since 2×1202022412202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120202241193 and 120202241202.

It is not an unprimeable number, because it can be changed into a prime (120202241227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9269101 + ... + 9282059.

It is an arithmetic number, because the mean of its divisors is an integer number (1979964000).

Almost surely, 2120202241220 is an apocalyptic number.

120202241220 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 120202241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190076544000).

120202241220 is an abundant number, since it is smaller than the sum of its proper divisors (259950846780).

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

120202241220 is a wasteful number, since it uses less digits than its factorization.

120202241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13259 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120202241220 its reverse (22142202021), we get a palindrome (142344443241).

The spelling of 120202241220 in words is "one hundred twenty billion, two hundred two million, two hundred forty-one thousand, two hundred twenty".