1132195381020 has 1152 divisors, whose sum is σ = 4228271308800. Its totient is φ = 250469936640.

The previous prime is 1132195380971. The next prime is 1132195381027. The reversal of 1132195381020 is 201835912311.

1132195381020 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 19 + 538 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132195381027) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6779612977 + ... + 6779613143.

It is an arithmetic number, because the mean of its divisors is an integer number (3670374400).

Almost surely, 2^{1132195381020} is an apocalyptic number.

1132195381020 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 1132195381020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114135654400).

1132195381020 is an abundant number, since it is smaller than the sum of its proper divisors (3096075927780).

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

1132195381020 is a wasteful number, since it uses less digits than its factorization.

1132195381020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1132195381020 in words is "one trillion, one hundred thirty-two billion, one hundred ninety-five million, three hundred eighty-one thousand, twenty".