1121000121120 has 384 divisors, whose sum is σ = 3883978812672. Its totient is φ = 269520076800.

The previous prime is 1121000121103. The next prime is 1121000121121. The reversal of 1121000121120 is 211210001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121000121096 and 1121000121105.

It is not an unprimeable number, because it can be changed into a prime (1121000121121) 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 63 ways as a sum of consecutive naturals, for example, 630837672 + ... + 630839448.

It is an arithmetic number, because the mean of its divisors is an integer number (10114528158).

Almost surely, 2^{1121000121120} is an apocalyptic number.

1121000121120 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 1121000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941989406336).

1121000121120 is an abundant number, since it is smaller than the sum of its proper divisors (2762978691552).

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

1121000121120 is a wasteful number, since it uses less digits than its factorization.

1121000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121000121120 its reverse (211210001211), we get a palindrome (1332210122331).

The spelling of 1121000121120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one thousand, one hundred twenty".