1121121141300 has 216 divisors, whose sum is σ = 3643585545600. Its totient is φ = 287996002560.

The previous prime is 1121121141299. The next prime is 1121121141307. The reversal of 1121121141300 is 31411211211.

1121121141300 is a `hidden beast` number, since 11 + 211 + 2 + 1 + 141 + 300 = 666.

It is a super-2 number, since 2×1121121141300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121121141307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11408977 + ... + 11506823.

It is an arithmetic number, because the mean of its divisors is an integer number (16868451600).

Almost surely, 2^{1121121141300} is an apocalyptic number.

1121121141300 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 1121121141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821792772800).

1121121141300 is an abundant number, since it is smaller than the sum of its proper divisors (2522464404300).

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

1121121141300 is a wasteful number, since it uses less digits than its factorization.

1121121141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98335 (or 98325 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121121141300 its reverse (31411211211), we get a palindrome (1152532352511).

The spelling of 1121121141300 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred forty-one thousand, three hundred".