1131391252992 has 960 divisors, whose sum is σ = 4253295771648. Its totient is φ = 262434816000.

The previous prime is 1131391252987. The next prime is 1131391252997. The reversal of 1131391252992 is 2992521931311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131391252987) and next prime (1131391252997).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1131391252997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333643617 + ... + 333647007.

Almost surely, 2^{1131391252992} is an apocalyptic number.

1131391252992 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 1131391252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126647885824).

1131391252992 is an abundant number, since it is smaller than the sum of its proper divisors (3121904518656).

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

1131391252992 is a wasteful number, since it uses less digits than its factorization.

1131391252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3458 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The spelling of 1131391252992 in words is "one trillion, one hundred thirty-one billion, three hundred ninety-one million, two hundred fifty-two thousand, nine hundred ninety-two".