Search a number
-
+
121120144230330 = 233572178922926423
BaseRepresentation
bin11011100010100001111011…
…001011000000011110111010
3120212211222021002202201202000
4123202201323023000132322
5111333413023410332310
61105333454235121430
734340433041065200
oct3342417313003672
9525758232681660
10121120144230330
1135657845905643
1211701a8b2a3276
13527777173b55b
1421ca363a45070
15e0092d8624c0
hex6e287b2c07ba

121120144230330 has 768 divisors, whose sum is σ = 404062701696000. Its totient is φ = 25649858691072.

The previous prime is 121120144230311. The next prime is 121120144230343. The reversal of 121120144230330 is 33032441021121.

121120144230330 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 201 + 4 + 423 + 0 + 3 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121120144230294 and 121120144230303.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4583877499 + ... + 4583903921.

It is an arithmetic number, because the mean of its divisors is an integer number (526123309500).

Almost surely, 2121120144230330 is an apocalyptic number.

121120144230330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120144230330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202031350848000).

121120144230330 is an abundant number, since it is smaller than the sum of its proper divisors (282942557465670).

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

121120144230330 is a wasteful number, since it uses less digits than its factorization.

121120144230330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26788 (or 26775 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121120144230330 its reverse (33032441021121), we get a palindrome (154152585251451).

The spelling of 121120144230330 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred forty-four million, two hundred thirty thousand, three hundred thirty".