1011332442120 has 256 divisors, whose sum is σ = 4073619271680. Its totient is φ = 193981824000.

The previous prime is 1011332442103. The next prime is 1011332442121. The reversal of 1011332442120 is 212442331101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1011332442121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4089556 + ... + 4329795.

It is an arithmetic number, because the mean of its divisors is an integer number (15912575280).

Almost surely, 2^{1011332442120} is an apocalyptic number.

1011332442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011332442120 is an abundant number, since it is smaller than the sum of its proper divisors (3062286829560).

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

1011332442120 is a wasteful number, since it uses less digits than its factorization.

1011332442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419396 (or 8419392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1011332442120 its reverse (212442331101), we get a palindrome (1223774773221).

The spelling of 1011332442120 in words is "one trillion, eleven billion, three hundred thirty-two million, four hundred forty-two thousand, one hundred twenty".