121121130445000 has 480 divisors, whose sum is σ = 342586440840600. Its totient is φ = 39968044032000.

The previous prime is 121121130444967. The next prime is 121121130445027. The reversal of 121121130445000 is 544031121121.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 109364200414756 + 11756930030244 = 10457734^2 + 3428838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2252258112 + ... + 2252311888.

Almost surely, 2^{121121130445000} is an apocalyptic number.

121121130445000 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 121121130445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171293220420300).

121121130445000 is an abundant number, since it is smaller than the sum of its proper divisors (221465310395600).

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

121121130445000 is a wasteful number, since it uses less digits than its factorization.

121121130445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54163 (or 54137 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 121121130445000 its reverse (544031121121), we get a palindrome (121665161566121).

The spelling of 121121130445000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred thirty million, four hundred forty-five thousand".