1200120013120 has 112 divisors (see below), whose sum is σ = 3266945935488. Its totient is φ = 411355699200.

The previous prime is 1200120013013. The next prime is 1200120013159. The reversal of 1200120013120 is 213100210021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1200120013120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1200120013120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8217859 + ... + 8362621.

Almost surely, 2^{1200120013120} is an apocalyptic number.

1200120013120 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 1200120013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633472967744).

1200120013120 is an abundant number, since it is smaller than the sum of its proper divisors (2066825922368).

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

1200120013120 is a wasteful number, since it uses less digits than its factorization.

1200120013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148488 (or 148478 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1200120013120 its reverse (213100210021), we get a palindrome (1413220223141).

The spelling of 1200120013120 in words is "one trillion, two hundred billion, one hundred twenty million, thirteen thousand, one hundred twenty".