Search a number
-
+
12244323129280 = 2651188714532699
BaseRepresentation
bin1011001000101101101010…
…0001111101011111000000
31121100112201221011001021121
42302023122201331133000
53101102333210114110
642012544150402024
72402423512234534
oct262133241753700
947315657131247
1012244323129280
1139a087421a060
121459047060314
136aa83361b378
143048b2495bc4
1516378267dcda
hexb22da87d7c0

12244323129280 has 224 divisors, whose sum is σ = 31876993497600. Its totient is φ = 4442753863680.

The previous prime is 12244323129251. The next prime is 12244323129287. The reversal of 12244323129280 is 8292132344221.

12244323129280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244323129287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4536613371 + ... + 4536616069.

Almost surely, 212244323129280 is an apocalyptic number.

12244323129280 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 12244323129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938496748800).

12244323129280 is an abundant number, since it is smaller than the sum of its proper divisors (19632670368320).

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

12244323129280 is a wasteful number, since it uses less digits than its factorization.

12244323129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 12244323129280 in words is "twelve trillion, two hundred forty-four billion, three hundred twenty-three million, one hundred twenty-nine thousand, two hundred eighty".