121021320400 has 120 divisors (see below), whose sum is σ = 308391511680. Its totient is φ = 45481850880.

The previous prime is 121021320377. The next prime is 121021320421. The reversal of 121021320400 is 4023120121.

121021320400 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 (16).

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 23 ways as a sum of consecutive naturals, for example, 3976441 + ... + 4006759.

It is an arithmetic number, because the mean of its divisors is an integer number (2569929264).

Almost surely, 2^121021320400 is an apocalyptic number.

121021320400 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 121021320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154195755840).

121021320400 is an abundant number, since it is smaller than the sum of its proper divisors (187370191280).

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

121021320400 is a wasteful number, since it uses less digits than its factorization.

121021320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30941 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 121021320400 its reverse (4023120121), we get a palindrome (125044440521).

The spelling of 121021320400 in words is "one hundred twenty-one billion, twenty-one million, three hundred twenty thousand, four hundred".