1121505369600 has 960 divisors, whose sum is σ = 4862348789760. Its totient is φ = 220763750400.

The previous prime is 1121505369583. The next prime is 1121505369601. The reversal of 1121505369600 is 69635051211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121505369601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 56169219 + ... + 56189181.

It is an arithmetic number, because the mean of its divisors is an integer number (5064946656).

Almost surely, 2^{1121505369600} is an apocalyptic number.

1121505369600 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 1121505369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431174394880).

1121505369600 is an abundant number, since it is smaller than the sum of its proper divisors (3740843420160).

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

1121505369600 is a wasteful number, since it uses less digits than its factorization.

1121505369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20031 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 1121505369600 in words is "one trillion, one hundred twenty-one billion, five hundred five million, three hundred sixty-nine thousand, six hundred".