1131540305412 has 144 divisors (see below), whose sum is σ = 3088271491200. Its totient is φ = 321097835520.

The previous prime is 1131540305393. The next prime is 1131540305447. The reversal of 1131540305412 is 2145030451311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131540305412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4796938 + ... + 5027294.

It is an arithmetic number, because the mean of its divisors is an integer number (21446329800).

Almost surely, 2^{1131540305412} is an apocalyptic number.

1131540305412 is a gapful number since it is divisible by the number (12) 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 1131540305412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544135745600).

1131540305412 is an abundant number, since it is smaller than the sum of its proper divisors (1956731185788).

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

1131540305412 is a wasteful number, since it uses less digits than its factorization.

1131540305412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230602 (or 230589 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1131540305412 its reverse (2145030451311), we get a palindrome (3276570756723).

The spelling of 1131540305412 in words is "one trillion, one hundred thirty-one billion, five hundred forty million, three hundred five thousand, four hundred twelve".