Search a number
-
+
12044224222400 = 26524159107127229
BaseRepresentation
bin1010111101000100001110…
…1101001101010011000000
31120122102020200202101001102
42233101003231031103000
53034313032400104100
641341012404353532
72352111050500346
oct257210355152300
946572220671042
1012044224222400
113923a21643737
1214263023a58a8
136949c497c116
142d8d2d1c9996
1515d4706bdcd5
hexaf443b4d4c0

12044224222400 has 672 divisors, whose sum is σ = 31544781004800. Its totient is φ = 4521465446400.

The previous prime is 12044224222391. The next prime is 12044224222427. The reversal of 12044224222400 is 422242244021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52594865486 + ... + 52594865714.

It is an arithmetic number, because the mean of its divisors is an integer number (46941638400).

Almost surely, 212044224222400 is an apocalyptic number.

12044224222400 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 12044224222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772390502400).

12044224222400 is an abundant number, since it is smaller than the sum of its proper divisors (19500556782400).

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

12044224222400 is a wasteful number, since it uses less digits than its factorization.

12044224222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 12044224222400 its reverse (422242244021), we get a palindrome (12466466466421).

The spelling of 12044224222400 in words is "twelve trillion, forty-four billion, two hundred twenty-four million, two hundred twenty-two thousand, four hundred".