1092012133248 has 128 divisors (see below), whose sum is σ = 3223387353600. Its totient is φ = 363954931200.

The previous prime is 1092012133231. The next prime is 1092012133253. The reversal of 1092012133248 is 8423312102901.

1092012133248 is a `hidden beast` number, since 109 + 201 + 21 + 3 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32991715 + ... + 33024797.

It is an arithmetic number, because the mean of its divisors is an integer number (25182713700).

Almost surely, 2^{1092012133248} is an apocalyptic number.

1092012133248 is a gapful number since it is divisible by the number (18) 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 1092012133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611693676800).

1092012133248 is an abundant number, since it is smaller than the sum of its proper divisors (2131375220352).

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

1092012133248 is an equidigital number, since it uses as much as digits as its factorization.

1092012133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42657 (or 42639 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1092012133248 in words is "one trillion, ninety-two billion, twelve million, one hundred thirty-three thousand, two hundred forty-eight".