1200002001120 has 768 divisors, whose sum is σ = 4611887400960. Its totient is φ = 293260953600.

The previous prime is 1200002001097. The next prime is 1200002001151. The reversal of 1200002001120 is 211002000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 686892087 + ... + 686893833.

It is an arithmetic number, because the mean of its divisors is an integer number (6005061720).

Almost surely, 2^{1200002001120} is an apocalyptic number.

1200002001120 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 1200002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305943700480).

1200002001120 is an abundant number, since it is smaller than the sum of its proper divisors (3411885399840).

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

1200002001120 is a wasteful number, since it uses less digits than its factorization.

1200002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200002001120 its reverse (211002000021), we get a palindrome (1411004001141).

The spelling of 1200002001120 in words is "one trillion, two hundred billion, two million, one thousand, one hundred twenty".