1121011011120 has 640 divisors, whose sum is σ = 4816459726848. Its totient is φ = 208081612800.

The previous prime is 1121011011097. The next prime is 1121011011137. The reversal of 1121011011120 is 211101101211.

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 = 1121011011096 and 1121011011105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7372179 + ... + 7522701.

Almost surely, 2^{1121011011120} is an apocalyptic number.

1121011011120 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 1121011011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408229863424).

1121011011120 is an abundant number, since it is smaller than the sum of its proper divisors (3695448715728).

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

1121011011120 is a wasteful number, since it uses less digits than its factorization.

1121011011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150601 (or 150595 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121011011120 its reverse (211101101211), we get a palindrome (1332112112331).

Subtracting from 1121011011120 its reverse (211101101211), we obtain a palindrome (909909909909).

The spelling of 1121011011120 in words is "one trillion, one hundred twenty-one billion, eleven million, eleven thousand, one hundred twenty".