121200002011000 has 256 divisors, whose sum is σ = 327628472371200. Its totient is φ = 41475342592000.

The previous prime is 121200002010991. The next prime is 121200002011003. The reversal of 121200002011000 is 110200002121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200002011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1826395821 + ... + 1826462179.

It is an arithmetic number, because the mean of its divisors is an integer number (1279798720200).

Almost surely, 2^{121200002011000} is an apocalyptic number.

121200002011000 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 121200002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163814236185600).

121200002011000 is an abundant number, since it is smaller than the sum of its proper divisors (206428470360200).

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

121200002011000 is a wasteful number, since it uses less digits than its factorization.

121200002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76175 (or 76161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121200002011000 its reverse (110200002121), we get a palindrome (121310202013121).

The spelling of 121200002011000 in words is "one hundred twenty-one trillion, two hundred billion, two million, eleven thousand".