121244131104000 has 576 divisors, whose sum is σ = 429469784190720. Its totient is φ = 30210922905600.

The previous prime is 121244131103971. The next prime is 121244131104007. The reversal of 121244131104000 is 401131442121.

It is a happy number.

It is a super-3 number, since 3×121244131104000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121244131104007) 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, 226580764 + ... + 227115236.

It is an arithmetic number, because the mean of its divisors is an integer number (745607264220).

Almost surely, 2^{121244131104000} is an apocalyptic number.

121244131104000 is a gapful number since it is divisible by the number (10) 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 121244131104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214734892095360).

121244131104000 is an abundant number, since it is smaller than the sum of its proper divisors (308225653086720).

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

121244131104000 is a wasteful number, since it uses less digits than its factorization.

121244131104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534663 (or 534639 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121244131104000 its reverse (401131442121), we get a palindrome (121645262546121).

The spelling of 121244131104000 in words is "one hundred twenty-one trillion, two hundred forty-four billion, one hundred thirty-one million, one hundred four thousand".