121773093120 has 1008 divisors, whose sum is σ = 507442720512. Its totient is φ = 27411333120.

The previous prime is 121773093041. The next prime is 121773093121. The reversal of 121773093120 is 21390377121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121773093121) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 672779430 + ... + 672779610.

Almost surely, 2^121773093120 is an apocalyptic number.

121773093120 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 121773093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253721360256).

121773093120 is an abundant number, since it is smaller than the sum of its proper divisors (385669627392).

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

121773093120 is an equidigital number, since it uses as much as digits as its factorization.

121773093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 121773093120 in words is "one hundred twenty-one billion, seven hundred seventy-three million, ninety-three thousand, one hundred twenty".