12290310144 has 480 divisors, whose sum is σ = 42990304000. Its totient is φ = 3511517184.

The previous prime is 12290310049. The next prime is 12290310163. The reversal of 12290310144 is 44101309221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12290310144 is a `hidden beast` number, since 122 + 90 + 310 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755758589 + ... + 1755758595.

Almost surely, 2^12290310144 is an apocalyptic number.

12290310144 is a gapful number since it is divisible by the number (14) 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 12290310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495152000).

12290310144 is an abundant number, since it is smaller than the sum of its proper divisors (30699993856).

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

12290310144 is an frugal number, since it uses more digits than its factorization.

12290310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12290310144 its reverse (44101309221), we get a palindrome (56391619365).

The spelling of 12290310144 in words is "twelve billion, two hundred ninety million, three hundred ten thousand, one hundred forty-four".