9121121095680 has 2080 divisors, whose sum is σ = 38236396353408. Its totient is φ = 2081111408640.

The previous prime is 9121121095649. The next prime is 9121121095693. The reversal of 9121121095680 is 865901211219.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 536536535032 + ... + 536536535048.

Almost surely, 2^{9121121095680} is an apocalyptic number.

9121121095680 is a gapful number since it is divisible by the number (90) 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 9121121095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118198176704).

9121121095680 is an abundant number, since it is smaller than the sum of its proper divisors (29115275257728).

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

9121121095680 is an frugal number, since it uses more digits than its factorization.

9121121095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 9121121095680 in words is "nine trillion, one hundred twenty-one billion, one hundred twenty-one million, ninety-five thousand, six hundred eighty".