Search a number
-
+
12222123232312 = 2373167101210301
BaseRepresentation
bin1011000111011010111101…
…0100000100110000111000
31121021102102210010102201101
42301312233110010300320
53100221402021413222
641554433233501144
72401006415231050
oct261665724046070
947242383112641
1012222123232312
113992411a30974
1214548904117b4
136a8706249c66
143037a7d5c560
15162dd3716927
hexb1daf504c38

12222123232312 has 192 divisors, whose sum is σ = 27715670046720. Its totient is φ = 4943505600000.

The previous prime is 12222123232201. The next prime is 12222123232313. The reversal of 12222123232312 is 21323232122221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222123232313) 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, 1186493562 + ... + 1186503862.

It is an arithmetic number, because the mean of its divisors is an integer number (144352448160).

Almost surely, 212222123232312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222123232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857835023360).

12222123232312 is an abundant number, since it is smaller than the sum of its proper divisors (15493546814408).

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

12222123232312 is a wasteful number, since it uses less digits than its factorization.

12222123232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10509 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 12222123232312 its reverse (21323232122221), we get a palindrome (33545355354533).

The spelling of 12222123232312 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-three million, two hundred thirty-two thousand, three hundred twelve".