1141311240020 has 96 divisors (see below), whose sum is σ = 2809562112000. Its totient is φ = 381346527744.

The previous prime is 1141311239969. The next prime is 1141311240059. The reversal of 1141311240020 is 200421131411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1141311239974 and 1141311240001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589421 + ... + 1621739.

It is an arithmetic number, because the mean of its divisors is an integer number (29266272000).

Almost surely, 2^{1141311240020} is an apocalyptic number.

1141311240020 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 1141311240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404781056000).

1141311240020 is an abundant number, since it is smaller than the sum of its proper divisors (1668250871980).

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

1141311240020 is a wasteful number, since it uses less digits than its factorization.

1141311240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032537 (or 1032535 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1141311240020 its reverse (200421131411), we get a palindrome (1341732371431).

The spelling of 1141311240020 in words is "one trillion, one hundred forty-one billion, three hundred eleven million, two hundred forty thousand, twenty".