121201033200 has 480 divisors, whose sum is σ = 436813708800. Its totient is φ = 28527759360.

The previous prime is 121201033183. The next prime is 121201033229. The reversal of 121201033200 is 2330102121.

121201033200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121201033200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34053021 + ... + 34056579.

It is an arithmetic number, because the mean of its divisors is an integer number (910028560).

Almost surely, 2^121201033200 is an apocalyptic number.

121201033200 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 121201033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218406854400).

121201033200 is an abundant number, since it is smaller than the sum of its proper divisors (315612675600).

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

121201033200 is a wasteful number, since it uses less digits than its factorization.

121201033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121201033200 its reverse (2330102121), we get a palindrome (123531135321).

The spelling of 121201033200 in words is "one hundred twenty-one billion, two hundred one million, thirty-three thousand, two hundred".