1121153241600 has 2160 divisors, whose sum is σ = 4963059129600. Its totient is φ = 240603955200.

The previous prime is 1121153241563. The next prime is 1121153241641. The reversal of 1121153241600 is 61423511211.

1121153241600 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 53 + 2 + 4 + 1 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7524518326 + ... + 7524518474.

It is an arithmetic number, because the mean of its divisors is an integer number (2297712560).

Almost surely, 2^{1121153241600} is an apocalyptic number.

1121153241600 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 1121153241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481529564800).

1121153241600 is an abundant number, since it is smaller than the sum of its proper divisors (3841905888000).

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

1121153241600 is a wasteful number, since it uses less digits than its factorization.

1121153241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1121153241600 its reverse (61423511211), we get a palindrome (1182576752811).

The spelling of 1121153241600 in words is "one trillion, one hundred twenty-one billion, one hundred fifty-three million, two hundred forty-one thousand, six hundred".