Search a number
-
+
121340213120 = 2757223295801
BaseRepresentation
bin111000100000001110…
…0001011011110000000
3102121012102000111021102
41301000130023132000
53442001043304440
6131424245513532
711523631536200
oct1610034133600
9377172014242
10121340213120
1147507429075
121b6247128a8
13b599a61b99
145c31334400
15325298ab15
hex1c4070b780

121340213120 has 384 divisors, whose sum is σ = 364314542400. Its totient is φ = 38414745600.

The previous prime is 121340213117. The next prime is 121340213129. The reversal of 121340213120 is 21312043121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121340213092 and 121340213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121340213129) 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, 20914220 + ... + 20920020.

Almost surely, 2121340213120 is an apocalyptic number.

121340213120 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 121340213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182157271200).

121340213120 is an abundant number, since it is smaller than the sum of its proper divisors (242974329280).

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

121340213120 is a wasteful number, since it uses less digits than its factorization.

121340213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121340213120 its reverse (21312043121), we get a palindrome (142652256241).

The spelling of 121340213120 in words is "one hundred twenty-one billion, three hundred forty million, two hundred thirteen thousand, one hundred twenty".