Search a number
-
+
121120031200 = 25527293492137
BaseRepresentation
bin111000011001101010…
…0010000000111100000
3102120122001201002110111
41300303110100013200
53441023211444300
6131350342341104
711515316164330
oct1606324200740
9376561632414
10121120031200
1147404111143
121b582a2a794
13b56325c71c
145c0ddbb0c0
15323d4969ba
hex1c335101e0

121120031200 has 288 divisors, whose sum is σ = 350743176000. Its totient is φ = 39961313280.

The previous prime is 121120031167. The next prime is 121120031213. The reversal of 121120031200 is 2130021121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56676532 + ... + 56678668.

It is an arithmetic number, because the mean of its divisors is an integer number (1217858250).

Almost surely, 2121120031200 is an apocalyptic number.

121120031200 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 121120031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175371588000).

121120031200 is an abundant number, since it is smaller than the sum of its proper divisors (229623144800).

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

121120031200 is a wasteful number, since it uses less digits than its factorization.

121120031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121120031200 its reverse (2130021121), we get a palindrome (123250052321).

The spelling of 121120031200 in words is "one hundred twenty-one billion, one hundred twenty million, thirty-one thousand, two hundred".