Search a number
-
+
12223331211300 = 2235211232910154983
BaseRepresentation
bin1011000111011111011101…
…0100001001100000100100
31121021112112222011010100220
42301313313110021200210
53100231340242230200
641555153145004340
72401051354000506
oct261676724114044
947245488133326
1012223331211300
113992981897410
121454b68a836b0
136a88695a6121
14303880567d76
15162e547cb4a0
hexb1df7509824

12223331211300 has 576 divisors, whose sum is σ = 42060067983360. Its totient is φ = 2709512960000.

The previous prime is 12223331211257. The next prime is 12223331211307. The reversal of 12223331211300 is 311213332221.

It is a super-2 number, since 2×122233312113002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12223331211307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222283609 + ... + 222338591.

It is an arithmetic number, because the mean of its divisors is an integer number (73020951360).

Almost surely, 212223331211300 is an apocalyptic number.

12223331211300 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 12223331211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030033991680).

12223331211300 is an abundant number, since it is smaller than the sum of its proper divisors (29836736772060).

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

12223331211300 is a wasteful number, since it uses less digits than its factorization.

12223331211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55164 (or 55157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12223331211300 its reverse (311213332221), we get a palindrome (12534544543521).

The spelling of 12223331211300 in words is "twelve trillion, two hundred twenty-three billion, three hundred thirty-one million, two hundred eleven thousand, three hundred".