121110001201200 has 240 divisors, whose sum is σ = 423239075715456. Its totient is φ = 29358982502400.

The previous prime is 121110001201193. The next prime is 121110001201213. The reversal of 121110001201200 is 2102100011121.

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 (12).

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, 423352612 + ... + 423638588.

Almost surely, 2^{121110001201200} is an apocalyptic number.

121110001201200 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 121110001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211619537857728).

121110001201200 is an abundant number, since it is smaller than the sum of its proper divisors (302129074514256).

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

121110001201200 is a wasteful number, since it uses less digits than its factorization.

121110001201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318092 (or 318081 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121110001201200 its reverse (2102100011121), we get a palindrome (123212101212321).

The spelling of 121110001201200 in words is "one hundred twenty-one trillion, one hundred ten billion, one million, two hundred one thousand, two hundred".