121212100121200 has 240 divisors, whose sum is σ = 323801499190176. Its totient is φ = 43236664934400.

The previous prime is 121212100121141. The next prime is 121212100121201. The reversal of 121212100121200 is 2121001212121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212100121201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46971754 + ... + 49485046.

Almost surely, 2^{121212100121200} is an apocalyptic number.

121212100121200 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 121212100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161900749595088).

121212100121200 is an abundant number, since it is smaller than the sum of its proper divisors (202589399068976).

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

121212100121200 is a wasteful number, since it uses less digits than its factorization.

121212100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513532 (or 2513521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121212100121200 its reverse (2121001212121), we get a palindrome (123333101333321).

The spelling of 121212100121200 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred".