1011120001120 has 192 divisors, whose sum is σ = 2448238141440. Its totient is φ = 394539264000.

The previous prime is 1011120001079. The next prime is 1011120001189. The reversal of 1011120001120 is 211000211101.

1011120001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011120001097 and 1011120001106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351203841 + ... + 351206719.

It is an arithmetic number, because the mean of its divisors is an integer number (12751240320).

Almost surely, 2^{1011120001120} is an apocalyptic number.

1011120001120 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 1011120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224119070720).

1011120001120 is an abundant number, since it is smaller than the sum of its proper divisors (1437118140320).

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

1011120001120 is a wasteful number, since it uses less digits than its factorization.

1011120001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011120001120 its reverse (211000211101), we get a palindrome (1222120212221).

The spelling of 1011120001120 in words is "one trillion, eleven billion, one hundred twenty million, one thousand, one hundred twenty".