121532430324144 has 160 divisors (see below), whose sum is σ = 359874182371840. Its totient is φ = 34620657555456.

The previous prime is 121532430324143. The next prime is 121532430324209. The reversal of 121532430324144 is 441423034235121.

It is not an unprimeable number, because it can be changed into a prime (121532430324143) 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, 265411839 + ... + 265869345.

It is an arithmetic number, because the mean of its divisors is an integer number (2249213639824).

Almost surely, 2^{121532430324144} is an apocalyptic number.

121532430324144 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 121532430324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179937091185920).

121532430324144 is an abundant number, since it is smaller than the sum of its proper divisors (238341752047696).

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

121532430324144 is a wasteful number, since it uses less digits than its factorization.

121532430324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459867 (or 459861 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 121532430324144 its reverse (441423034235121), we get a palindrome (562955464559265).

The spelling of 121532430324144 in words is "one hundred twenty-one trillion, five hundred thirty-two billion, four hundred thirty million, three hundred twenty-four thousand, one hundred forty-four".