1131024960000 has 1200 divisors, whose sum is σ = 4653742157064. Its totient is φ = 261881856000.

The previous prime is 1131024959963. The next prime is 1131024960029. The reversal of 1131024960000 is 694201311.

1131024960000 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 2 + 49 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 492534468864 + 638490491136 = 701808^2 + 799056^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 636479112 + ... + 636480888.

Almost surely, 2^{1131024960000} is an apocalyptic number.

1131024960000 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 1131024960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326871078532).

1131024960000 is an abundant number, since it is smaller than the sum of its proper divisors (3522717197064).

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

1131024960000 is a wasteful number, since it uses less digits than its factorization.

1131024960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1131024960000 in words is "one trillion, one hundred thirty-one billion, twenty-four million, nine hundred sixty thousand".