121826115072 has 200 divisors, whose sum is σ = 369789334200. Its totient is φ = 39919620096.

The previous prime is 121826115041. The next prime is 121826115163. The reversal of 121826115072 is 270511628121.

It is a happy number.

121826115072 is a `hidden beast` number, since 12 + 1 + 82 + 61 + 1 + 507 + 2 = 666.

121826115072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2421954 + ... + 2471742.

It is an arithmetic number, because the mean of its divisors is an integer number (1848946671).

Almost surely, 2^121826115072 is an apocalyptic number.

121826115072 is a gapful number since it is divisible by the number (12) 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 121826115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184894667100).

121826115072 is an abundant number, since it is smaller than the sum of its proper divisors (247963219128).

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

121826115072 is an frugal number, since it uses more digits than its factorization.

121826115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49878 (or 49853 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 121826115072 in words is "one hundred twenty-one billion, eight hundred twenty-six million, one hundred fifteen thousand, seventy-two".