121065120800 has 288 divisors, whose sum is σ = 325689154560. Its totient is φ = 43670937600.

The previous prime is 121065120793. The next prime is 121065120811. The reversal of 121065120800 is 8021560121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 121065120800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117197084 + ... + 117198116.

It is an arithmetic number, because the mean of its divisors is an integer number (1130865120).

Almost surely, 2^121065120800 is an apocalyptic number.

121065120800 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 121065120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162844577280).

121065120800 is an abundant number, since it is smaller than the sum of its proper divisors (204624033760).

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

121065120800 is a wasteful number, since it uses less digits than its factorization.

121065120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 121065120800 its reverse (8021560121), we get a palindrome (129086680921).

The spelling of 121065120800 in words is "one hundred twenty-one billion, sixty-five million, one hundred twenty thousand, eight hundred".