Search a number
-
+
12212224321110 = 23511437738391327
BaseRepresentation
bin1011000110110110000101…
…0010101110011001010110
31121020110212220120122100120
42301231201102232121112
53100041113411233420
641550115101452410
72400206205664452
oct261554122563126
947213786518316
1012212224321110
1139891a2291420
121452989271106
136a77b9494a58
143031093d1662
15162a04675d40
hexb1b614ae656

12212224321110 has 256 divisors, whose sum is σ = 32823488839680. Its totient is φ = 2882332776960.

The previous prime is 12212224321079. The next prime is 12212224321117. The reversal of 12212224321110 is 1112342221221.

12212224321110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122122243211102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212224321117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9202881267 + ... + 9202882593.

It is an arithmetic number, because the mean of its divisors is an integer number (128216753280).

Almost surely, 212212224321110 is an apocalyptic number.

12212224321110 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 12212224321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411744419840).

12212224321110 is an abundant number, since it is smaller than the sum of its proper divisors (20611264518570).

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

12212224321110 is a wasteful number, since it uses less digits than its factorization.

12212224321110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12212224321110 its reverse (1112342221221), we get a palindrome (13324566542331).

The spelling of 12212224321110 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-four million, three hundred twenty-one thousand, one hundred ten".