122241130144 has 96 divisors (see below), whose sum is σ = 277000093440. Its totient is φ = 52017027072.

The previous prime is 122241130127. The next prime is 122241130157. The reversal of 122241130144 is 441031142221.

122241130144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38091612 + ... + 38094820.

It is an arithmetic number, because the mean of its divisors is an integer number (2885417640).

Almost surely, 2^122241130144 is an apocalyptic number.

122241130144 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 122241130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138500046720).

122241130144 is an abundant number, since it is smaller than the sum of its proper divisors (154758963296).

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

122241130144 is a wasteful number, since it uses less digits than its factorization.

122241130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 122241130144 its reverse (441031142221), we get a palindrome (563272272365).

The spelling of 122241130144 in words is "one hundred twenty-two billion, two hundred forty-one million, one hundred thirty thousand, one hundred forty-four".