Search a number
-
+
120020221210200 = 233522350391725961
BaseRepresentation
bin11011010010100001100010…
…101001101010111001011000
3120201221211011120112221112120
4123102201202221222321120
5111212402403112211300
61103132310051341240
734165113652504563
oct3322414251527130
9521854146487476
10120020221210200
1135273320a52783
12115648812b1820
1351c7b208a6acc
14218d01c8994da
15dd2004a1a3a0
hex6d2862a6ae58

120020221210200 has 192 divisors, whose sum is σ = 388316596147200. Its totient is φ = 30607760409600.

The previous prime is 120020221210193. The next prime is 120020221210207. The reversal of 120020221210200 is 2012122020021.

It is an interprime number because it is at equal distance from previous prime (120020221210193) and next prime (120020221210207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120020221210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020221210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68675220 + ... + 70401180.

It is an arithmetic number, because the mean of its divisors is an integer number (2022482271600).

Almost surely, 2120020221210200 is an apocalyptic number.

120020221210200 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 120020221210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194158298073600).

120020221210200 is an abundant number, since it is smaller than the sum of its proper divisors (268296374937000).

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

120020221210200 is a wasteful number, since it uses less digits than its factorization.

120020221210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731042 (or 1731033 counting only the distinct ones).

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

Adding to 120020221210200 its reverse (2012122020021), we get a palindrome (122032343230221).

The spelling of 120020221210200 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred".