121414410144 has 144 divisors (see below), whose sum is σ = 349296889032. Its totient is φ = 40002453504.

The previous prime is 121414410133. The next prime is 121414410149. The reversal of 121414410144 is 441014414121.

121414410144 is a `hidden beast` number, since 1 + 214 + 1 + 441 + 0 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87036800400 + 34377609744 = 295020^2 + 185412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (121414410149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8719732 + ... + 8733644.

Almost surely, 2^121414410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121414410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174648444516).

121414410144 is an abundant number, since it is smaller than the sum of its proper divisors (227882478888).

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

121414410144 is a wasteful number, since it uses less digits than its factorization.

121414410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 121414410144 its reverse (441014414121), we get a palindrome (562428824265).

The spelling of 121414410144 in words is "one hundred twenty-one billion, four hundred fourteen million, four hundred ten thousand, one hundred forty-four".