Search a number
-
+
121200201120 = 25352910781373
BaseRepresentation
bin111000011100000011…
…0000100110110100000
3102120211122120010220210
41300320012010312200
53441204222413440
6131402324534120
711520311466015
oct1607006046640
9376748503823
10121200201120
1147445398a79
121b5a5851340
13b576a4c24b
145c1a8c970c
153245530a80
hex1c38184da0

121200201120 has 192 divisors, whose sum is σ = 398641461120. Its totient is φ = 30913548288.

The previous prime is 121200201097. The next prime is 121200201131. The reversal of 121200201120 is 21102002121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121200201096 and 121200201105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448754 + ... + 1530126.

It is an arithmetic number, because the mean of its divisors is an integer number (2076257610).

Almost surely, 2121200201120 is an apocalyptic number.

121200201120 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 121200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320730560).

121200201120 is an abundant number, since it is smaller than the sum of its proper divisors (277441260000).

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

121200201120 is a wasteful number, since it uses less digits than its factorization.

121200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81527 (or 81519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121200201120 its reverse (21102002121), we get a palindrome (142302203241).

The spelling of 121200201120 in words is "one hundred twenty-one billion, two hundred million, two hundred one thousand, one hundred twenty".