1011111111120 has 320 divisors, whose sum is σ = 3455238850560. Its totient is φ = 242561280000.

The previous prime is 1011111111083. The next prime is 1011111111121. The reversal of 1011111111120 is 211111111101.

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 = 1011111111096 and 1011111111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111111121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104029621 + ... + 104039339.

It is an arithmetic number, because the mean of its divisors is an integer number (10797621408).

Almost surely, 2^{1011111111120} is an apocalyptic number.

1011111111120 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 1011111111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727619425280).

1011111111120 is an abundant number, since it is smaller than the sum of its proper divisors (2444127739440).

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

1011111111120 is a wasteful number, since it uses less digits than its factorization.

1011111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1011111111120 its reverse (211111111101), we get a palindrome (1222222222221).

The spelling of 1011111111120 in words is "one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".