1131201121140 has 240 divisors, whose sum is σ = 3828260720592. Its totient is φ = 278552162304.

The previous prime is 1131201121129. The next prime is 1131201121163. The reversal of 1131201121140 is 411211021311.

It can be written as a sum of positive squares in 8 ways, for example, as 3127717476 + 1128073403664 = 55926^2 + 1062108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1072122 + ... + 1847118.

Almost surely, 2^{1131201121140} is an apocalyptic number.

1131201121140 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 1131201121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914130360296).

1131201121140 is an abundant number, since it is smaller than the sum of its proper divisors (2697059599452).

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

1131201121140 is a wasteful number, since it uses less digits than its factorization.

1131201121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775088 (or 775077 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1131201121140 its reverse (411211021311), we get a palindrome (1542412142451).

The spelling of 1131201121140 in words is "one trillion, one hundred thirty-one billion, two hundred one million, one hundred twenty-one thousand, one hundred forty".