121200102201200 has 180 divisors, whose sum is σ = 320125460294640. Its totient is φ = 44063877580800.

The previous prime is 121200102201133. The next prime is 121200102201209. The reversal of 121200102201200 is 2102201002121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200102201209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242185637 + ... + 242685563.

Almost surely, 2^{121200102201200} is an apocalyptic number.

121200102201200 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 121200102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160062730147320).

121200102201200 is an abundant number, since it is smaller than the sum of its proper divisors (198925358093440).

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

121200102201200 is a wasteful number, since it uses less digits than its factorization.

121200102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504976 (or 504954 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121200102201200 its reverse (2102201002121), we get a palindrome (123302303203321).

The spelling of 121200102201200 in words is "one hundred twenty-one trillion, two hundred billion, one hundred two million, two hundred one thousand, two hundred".