121133201323200 has 336 divisors, whose sum is σ = 433580850001920. Its totient is φ = 29363314176000.

The previous prime is 121133201323187. The next prime is 121133201323217. The reversal of 121133201323200 is 2323102331121.

121133201323200 is digitally balanced in base 4, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726391830 + ... + 726558570.

Almost surely, 2^{121133201323200} is an apocalyptic number.

121133201323200 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 121133201323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216790425000960).

121133201323200 is an abundant number, since it is smaller than the sum of its proper divisors (312447648678720).

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

121133201323200 is a wasteful number, since it uses less digits than its factorization.

121133201323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180536 (or 180521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 121133201323200 its reverse (2323102331121), we get a palindrome (123456303654321).

The spelling of 121133201323200 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, two hundred one million, three hundred twenty-three thousand, two hundred".