1011122012120 has 128 divisors (see below), whose sum is σ = 2585901024000. Its totient is φ = 352447495680.

The previous prime is 1011122012059. The next prime is 1011122012129. The reversal of 1011122012120 is 212102211101.

It is a junction number, because it is equal to n+sod(n) for n = 1011122012095 and 1011122012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488599 + ... + 2058681.

It is an arithmetic number, because the mean of its divisors is an integer number (20202351750).

Almost surely, 2^{1011122012120} is an apocalyptic number.

1011122012120 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 1011122012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292950512000).

1011122012120 is an abundant number, since it is smaller than the sum of its proper divisors (1574779011880).

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

1011122012120 is a wasteful number, since it uses less digits than its factorization.

1011122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570273 (or 570269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011122012120 its reverse (212102211101), we get a palindrome (1223224223221).

The spelling of 1011122012120 in words is "one trillion, eleven billion, one hundred twenty-two million, twelve thousand, one hundred twenty".