1121121233120 has 384 divisors, whose sum is σ = 3248446021632. Its totient is φ = 357289574400.

The previous prime is 1121121233117. The next prime is 1121121233137. The reversal of 1121121233120 is 213321211211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121121233092 and 1121121233101.

It is a congruent number.

It is an unprimeable number.

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, 286217402 + ... + 286221318.

It is an arithmetic number, because the mean of its divisors is an integer number (8459494848).

Almost surely, 2^{1121121233120} is an apocalyptic number.

1121121233120 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 1121121233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624223010816).

1121121233120 is an abundant number, since it is smaller than the sum of its proper divisors (2127324788512).

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

1121121233120 is a wasteful number, since it uses less digits than its factorization.

1121121233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1121121233120 its reverse (213321211211), we get a palindrome (1334442444331).

The spelling of 1121121233120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty".