1121301535200 has 864 divisors, whose sum is σ = 4675567494528. Its totient is φ = 230791680000.

The previous prime is 1121301535181. The next prime is 1121301535213. The reversal of 1121301535200 is 25351031211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 143 ways as a sum of consecutive naturals, for example, 138411150 + ... + 138419250.

It is an arithmetic number, because the mean of its divisors is an integer number (5411536452).

Almost surely, 2^{1121301535200} is an apocalyptic number.

1121301535200 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 1121301535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337783747264).

1121301535200 is an abundant number, since it is smaller than the sum of its proper divisors (3554265959328).

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

1121301535200 is a wasteful number, since it uses less digits than its factorization.

1121301535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1121301535200 its reverse (25351031211), we get a palindrome (1146652566411).

The spelling of 1121301535200 in words is "one trillion, one hundred twenty-one billion, three hundred one million, five hundred thirty-five thousand, two hundred".