1200120121200 has 480 divisors, whose sum is σ = 5161696630272. Its totient is φ = 230192640000.

The previous prime is 1200120121153. The next prime is 1200120121201. The reversal of 1200120121200 is 21210210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200120121201) 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 95 ways as a sum of consecutive naturals, for example, 701650 + ... + 1700750.

Almost surely, 2^{1200120121200} is an apocalyptic number.

1200120121200 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 1200120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580848315136).

1200120121200 is an abundant number, since it is smaller than the sum of its proper divisors (3961576509072).

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

1200120121200 is a wasteful number, since it uses less digits than its factorization.

1200120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999153 (or 999142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200120121200 its reverse (21210210021), we get a palindrome (1221330331221).

The spelling of 1200120121200 in words is "one trillion, two hundred billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".