1093238007120 has 960 divisors, whose sum is σ = 4594685921280. Its totient is φ = 235992766464.

The previous prime is 1093238007097. The next prime is 1093238007133. The reversal of 1093238007120 is 217008323901.

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 191 ways as a sum of consecutive naturals, for example, 1414279054 + ... + 1414279826.

It is an arithmetic number, because the mean of its divisors is an integer number (4786131168).

Almost surely, 2^{1093238007120} is an apocalyptic number.

1093238007120 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 1093238007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297342960640).

1093238007120 is an abundant number, since it is smaller than the sum of its proper divisors (3501447914160).

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

1093238007120 is a wasteful number, since it uses less digits than its factorization.

1093238007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1093238007120 in words is "one trillion, ninety-three billion, two hundred thirty-eight million, seven thousand, one hundred twenty".