121144331241024 has 448 divisors, whose sum is σ = 395384916713472. Its totient is φ = 31878199296000.

The previous prime is 121144331240983. The next prime is 121144331241029. The reversal of 121144331241024 is 420142133441121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×121144331241024³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121144331241029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34347696349 + ... + 34347699875.

It is an arithmetic number, because the mean of its divisors is an integer number (882555617664).

Almost surely, 2^{121144331241024} is an apocalyptic number.

121144331241024 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 121144331241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197692458356736).

121144331241024 is an abundant number, since it is smaller than the sum of its proper divisors (274240585472448).

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

121144331241024 is a wasteful number, since it uses less digits than its factorization.

121144331241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 121144331241024 its reverse (420142133441121), we get a palindrome (541286464682145).

The spelling of 121144331241024 in words is "one hundred twenty-one trillion, one hundred forty-four billion, three hundred thirty-one million, two hundred forty-one thousand, twenty-four".