1011142441120 has 384 divisors, whose sum is σ = 2830376908800. Its totient is φ = 334208532480.

The previous prime is 1011142441117. The next prime is 1011142441121. The reversal of 1011142441120 is 211442411101.

It is a super-2 number, since 2×1011142441120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011142441091 and 1011142441100.

It is not an unprimeable number, because it can be changed into a prime (1011142441121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074539850 + ... + 1074540790.

It is an arithmetic number, because the mean of its divisors is an integer number (7370773200).

Almost surely, 2^{1011142441120} is an apocalyptic number.

1011142441120 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 1011142441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415188454400).

1011142441120 is an abundant number, since it is smaller than the sum of its proper divisors (1819234467680).

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

1011142441120 is a wasteful number, since it uses less digits than its factorization.

1011142441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1011142441120 its reverse (211442411101), we get a palindrome (1222584852221).

The spelling of 1011142441120 in words is "one trillion, eleven billion, one hundred forty-two million, four hundred forty-one thousand, one hundred twenty".