121200133200 has 240 divisors, whose sum is σ = 412564772736. Its totient is φ = 30309171200.

The previous prime is 121200133177. The next prime is 121200133259. The reversal of 121200133200 is 2331002121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

121200133200 is a modest number, since divided by 133200 gives 121200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 121200133200.

It is a congruent number.

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, 5721829 + ... + 5742971.

Almost surely, 2^121200133200 is an apocalyptic number.

121200133200 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 121200133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206282386368).

121200133200 is an abundant number, since it is smaller than the sum of its proper divisors (291364639536).

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

121200133200 is a wasteful number, since it uses less digits than its factorization.

121200133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21462 (or 21451 counting only the distinct ones).

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

Adding to 121200133200 its reverse (2331002121), we get a palindrome (123531135321).

The spelling of 121200133200 in words is "one hundred twenty-one billion, two hundred million, one hundred thirty-three thousand, two hundred".