Search a number
-
+
12223302331020 = 223511375915754037
BaseRepresentation
bin1011000111011111010110…
…0101111110101010001100
31121021112110221210212001220
42301313311211332222030
53100231310344043040
641555150234003340
72401050553344444
oct261676545765214
947245427725056
1012223302331020
113992967561210
121454b5b276550
136a88636039c1
1430387a7ab124
15162e51ec42d0
hexb1df597ea8c

12223302331020 has 384 divisors, whose sum is σ = 39244764625920. Its totient is φ = 2816166113280.

The previous prime is 12223302331013. The next prime is 12223302331049. The reversal of 12223302331020 is 2013320332221.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226175442 + ... + 226229478.

It is an arithmetic number, because the mean of its divisors is an integer number (102199907880).

Almost surely, 212223302331020 is an apocalyptic number.

12223302331020 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 12223302331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622382312960).

12223302331020 is an abundant number, since it is smaller than the sum of its proper divisors (27021462294900).

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

12223302331020 is a wasteful number, since it uses less digits than its factorization.

12223302331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54313 (or 54311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12223302331020 its reverse (2013320332221), we get a palindrome (14236622663241).

The spelling of 12223302331020 in words is "twelve trillion, two hundred twenty-three billion, three hundred two million, three hundred thirty-one thousand, twenty".