1134123003000 has 1152 divisors, whose sum is σ = 4360855449600. Its totient is φ = 265389696000.

The previous prime is 1134123002959. The next prime is 1134123003043. The reversal of 1134123003000 is 3003214311.

1134123003000 is a `hidden beast` number, since 1 + 1 + 341 + 23 + 0 + 0 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3159116821 + ... + 3159117179.

It is an arithmetic number, because the mean of its divisors is an integer number (3785464800).

Almost surely, 2^{1134123003000} is an apocalyptic number.

1134123003000 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 1134123003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180427724800).

1134123003000 is an abundant number, since it is smaller than the sum of its proper divisors (3226732446600).

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

1134123003000 is a wasteful number, since it uses less digits than its factorization.

1134123003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1134123003000 its reverse (3003214311), we get a palindrome (1137126217311).

The spelling of 1134123003000 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-three million, three thousand".