1093120434000 has 1920 divisors, whose sum is σ = 4918599189504. Its totient is φ = 228925440000.

The previous prime is 1093120433939. The next prime is 1093120434019. The reversal of 1093120434000 is 4340213901.

1093120434000 is a `hidden beast` number, since 1 + 0 + 9 + 312 + 0 + 4 + 340 + 0 + 0 = 666.

1093120434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2371193770 + ... + 2371194230.

Almost surely, 2^{1093120434000} is an apocalyptic number.

1093120434000 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 1093120434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459299594752).

1093120434000 is an abundant number, since it is smaller than the sum of its proper divisors (3825478755504).

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

1093120434000 is a wasteful number, since it uses less digits than its factorization.

1093120434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1093120434000 its reverse (4340213901), we get a palindrome (1097460647901).

The spelling of 1093120434000 in words is "one trillion, ninety-three billion, one hundred twenty million, four hundred thirty-four thousand".