1131297148800 has 1536 divisors, whose sum is σ = 5364573312000. Its totient is φ = 226098708480.

The previous prime is 1131297148799. The next prime is 1131297148823. The reversal of 1131297148800 is 88417921311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149381814 + ... + 149389386.

It is an arithmetic number, because the mean of its divisors is an integer number (3492560750).

Almost surely, 2^{1131297148800} is an apocalyptic number.

1131297148800 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 1131297148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682286656000).

1131297148800 is an abundant number, since it is smaller than the sum of its proper divisors (4233276163200).

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

1131297148800 is a wasteful number, since it uses less digits than its factorization.

1131297148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1131297148800 in words is "one trillion, one hundred thirty-one billion, two hundred ninety-seven million, one hundred forty-eight thousand, eight hundred".