1011233120128 has 256 divisors, whose sum is σ = 2662029619200. Its totient is φ = 370446336000.

The previous prime is 1011233120089. The next prime is 1011233120129. The reversal of 1011233120128 is 8210213321101.

1011233120128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011233120129) 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, 217982833 + ... + 217987471.

It is an arithmetic number, because the mean of its divisors is an integer number (10398553200).

Almost surely, 2^{1011233120128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011233120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331014809600).

1011233120128 is an abundant number, since it is smaller than the sum of its proper divisors (1650796499072).

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

1011233120128 is a wasteful number, since it uses less digits than its factorization.

1011233120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 1011233120128 its reverse (8210213321101), we get a palindrome (9221446441229).

The spelling of 1011233120128 in words is "one trillion, eleven billion, two hundred thirty-three million, one hundred twenty thousand, one hundred twenty-eight".